157733264304 has 640 divisors, whose sum is σ = 606021212160. Its totient is φ = 38021529600.

The previous prime is 157733264257. The next prime is 157733264309. The reversal of 157733264304 is 403462337751.

157733264304 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 332 + 6 + 4 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 157733264304.

It is not an unprimeable number, because it can be changed into a prime (157733264309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41278714 + ... + 41282534.

It is an arithmetic number, because the mean of its divisors is an integer number (946908144).

Almost surely, 2^157733264304 is an apocalyptic number.

157733264304 is a gapful number since it is divisible by the number (14) 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 157733264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303010606080).

157733264304 is an abundant number, since it is smaller than the sum of its proper divisors (448287947856).

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

157733264304 is a wasteful number, since it uses less digits than its factorization.

157733264304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 157733264304 in words is "one hundred fifty-seven billion, seven hundred thirty-three million, two hundred sixty-four thousand, three hundred four".