157671743664 has 80 divisors (see below), whose sum is σ = 413252907264. Its totient is φ = 51792249600.

The previous prime is 157671743653. The next prime is 157671743681. The reversal of 157671743664 is 466347176751.

157671743664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157671743664² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7968247 + ... + 7988009.

Almost surely, 2^157671743664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157671743664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206626453632).

157671743664 is an abundant number, since it is smaller than the sum of its proper divisors (255581163600).

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

157671743664 is a wasteful number, since it uses less digits than its factorization.

157671743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22186 (or 22180 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 157671743664 in words is "one hundred fifty-seven billion, six hundred seventy-one million, seven hundred forty-three thousand, six hundred sixty-four".