1973623680 has 384 divisors, whose sum is σ = 8045107200. Its totient is φ = 436285440.

The previous prime is 1973623669. The next prime is 1973623703. The reversal of 1973623680 is 863263791.

1973623680 is a `hidden beast` number, since 19 + 7 + 3 + 623 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249131 + ... + 1250709.

It is an arithmetic number, because the mean of its divisors is an integer number (20950800).

Almost surely, 2^1973623680 is an apocalyptic number.

1973623680 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 1973623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022553600).

1973623680 is an abundant number, since it is smaller than the sum of its proper divisors (6071483520).

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

1973623680 is a wasteful number, since it uses less digits than its factorization.

1973623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1973623680 is about 44425.4845781112. The cubic root of 1973623680 is about 1254.3578414524.

The spelling of 1973623680 in words is "one billion, nine hundred seventy-three million, six hundred twenty-three thousand, six hundred eighty".