1973749680 has 400 divisors, whose sum is σ = 7991970624. Its totient is φ = 442091520.

The previous prime is 1973749651. The next prime is 1973749681. The reversal of 1973749680 is 869473791.

It is a happy number.

1973749680 is a `hidden beast` number, since 1 + 9 + 73 + 7 + 496 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1973749681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2403670 + ... + 2404490.

Almost surely, 2^1973749680 is an apocalyptic number.

1973749680 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 1973749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995985312).

1973749680 is an abundant number, since it is smaller than the sum of its proper divisors (6018220944).

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

1973749680 is a wasteful number, since it uses less digits than its factorization.

1973749680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1973749680 is about 44426.9026604376. The cubic root of 1973749680 is about 1254.3845344379.

The spelling of 1973749680 in words is "one billion, nine hundred seventy-three million, seven hundred forty-nine thousand, six hundred eighty".