157674366720 has 1440 divisors, whose sum is σ = 658158842880. Its totient is φ = 35712368640.

The previous prime is 157674366679. The next prime is 157674366743. The reversal of 157674366720 is 27663476751.

It is a happy number.

157674366720 is a `hidden beast` number, since 1 + 576 + 7 + 4 + 3 + 6 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×157674366720² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1203621055 + ... + 1203621185.

It is an arithmetic number, because the mean of its divisors is an integer number (457054752).

Almost surely, 2^157674366720 is an apocalyptic number.

157674366720 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 157674366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329079421440).

157674366720 is an abundant number, since it is smaller than the sum of its proper divisors (500484476160).

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

157674366720 is a wasteful number, since it uses less digits than its factorization.

157674366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 157674366720 in words is "one hundred fifty-seven billion, six hundred seventy-four million, three hundred sixty-six thousand, seven hundred twenty".