157648700744640 has 2688 divisors, whose sum is σ = 673059824271360. Its totient is φ = 34617706905600.

The previous prime is 157648700744627. The next prime is 157648700744659. The reversal of 157648700744640 is 46447007846751.

157648700744640 is a `hidden beast` number, since 1 + 5 + 7 + 6 + 487 + 0 + 0 + 74 + 46 + 40 = 666.

It is a super-2 number, since 2×157648700744640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 232863663982 + ... + 232863664658.

Almost surely, 2^{157648700744640} is an apocalyptic number.

157648700744640 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 157648700744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336529912135680).

157648700744640 is an abundant number, since it is smaller than the sum of its proper divisors (515411123526720).

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

157648700744640 is a wasteful number, since it uses less digits than its factorization.

157648700744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 157648700744640 in words is "one hundred fifty-seven trillion, six hundred forty-eight billion, seven hundred million, seven hundred forty-four thousand, six hundred forty".