157956632064 has 1920 divisors, whose sum is σ = 665025292800. Its totient is φ = 36415733760.

The previous prime is 157956632059. The next prime is 157956632101. The reversal of 157956632064 is 460236659751.

157956632064 is a `hidden beast` number, since 1 + 5 + 79 + 566 + 3 + 2 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×157956632064² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157956632064.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3673410027 + ... + 3673410069.

It is an arithmetic number, because the mean of its divisors is an integer number (346367340).

Almost surely, 2^157956632064 is an apocalyptic number.

157956632064 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 157956632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332512646400).

157956632064 is an abundant number, since it is smaller than the sum of its proper divisors (507068660736).

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

157956632064 is a wasteful number, since it uses less digits than its factorization.

157956632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 157956632064 in words is "one hundred fifty-seven billion, nine hundred fifty-six million, six hundred thirty-two thousand, sixty-four".