157297904640 has 1232 divisors, whose sum is σ = 624387599712. Its totient is φ = 37838389248.

The previous prime is 157297904611. The next prime is 157297904683. The reversal of 157297904640 is 46409792751.

157297904640 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 97 + 90 + 464 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2347729887 + ... + 2347729953.

Almost surely, 2^157297904640 is an apocalyptic number.

157297904640 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 157297904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312193799856).

157297904640 is an abundant number, since it is smaller than the sum of its proper divisors (467089695072).

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

157297904640 is an equidigital number, since it uses as much as digits as its factorization.

157297904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 157297904640 in words is "one hundred fifty-seven billion, two hundred ninety-seven million, nine hundred four thousand, six hundred forty".