157197680640 has 1920 divisors, whose sum is σ = 760991293440. Its totient is φ = 29727129600.

The previous prime is 157197680599. The next prime is 157197680677. The reversal of 157197680640 is 46086791751.

157197680640 is a `hidden beast` number, since 1 + 571 + 9 + 7 + 6 + 8 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×157197680640² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2214051805 + ... + 2214051875.

It is an arithmetic number, because the mean of its divisors is an integer number (396349632).

Almost surely, 2^157197680640 is an apocalyptic number.

157197680640 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 157197680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380495646720).

157197680640 is an abundant number, since it is smaller than the sum of its proper divisors (603793612800).

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

157197680640 is a wasteful number, since it uses less digits than its factorization.

157197680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

Subtracting from 157197680640 its reverse (46086791751), we obtain a square (111110888889 = 333333²).

The spelling of 157197680640 in words is "one hundred fifty-seven billion, one hundred ninety-seven million, six hundred eighty thousand, six hundred forty".