1973731798080 has 672 divisors, whose sum is σ = 8019157106688. Its totient is φ = 436028313600.

The previous prime is 1973731798079. The next prime is 1973731798081. The reversal of 1973731798080 is 808971373791.

1973731798080 is a `hidden beast` number, since 1 + 97 + 373 + 17 + 98 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1973731798079) and next prime (1973731798081).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1973731797999 and 1973731798017.

It is not an unprimeable number, because it can be changed into a prime (1973731798081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664330995 + ... + 664333965.

It is an arithmetic number, because the mean of its divisors is an integer number (11933269504).

Almost surely, 2^{1973731798080} is an apocalyptic number.

1973731798080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1973731798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009578553344).

1973731798080 is an abundant number, since it is smaller than the sum of its proper divisors (6045425308608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1973731798080 is a wasteful number, since it uses less digits than its factorization.

1973731798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 1973731798080 in words is "one trillion, nine hundred seventy-three billion, seven hundred thirty-one million, seven hundred ninety-eight thousand, eighty".