157967677440 has 720 divisors, whose sum is σ = 602383181400. Its totient is φ = 39586627584.

The previous prime is 157967677379. The next prime is 157967677481. The reversal of 157967677440 is 44776769751.

157967677440 is a `hidden beast` number, since 1 + 5 + 79 + 67 + 67 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 239707831 + ... + 239708489.

Almost surely, 2^157967677440 is an apocalyptic number.

157967677440 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 157967677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301191590700).

157967677440 is an abundant number, since it is smaller than the sum of its proper divisors (444415503960).

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

157967677440 is an equidigital number, since it uses as much as digits as its factorization.

157967677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 157967677440 in words is "one hundred fifty-seven billion, nine hundred sixty-seven million, six hundred seventy-seven thousand, four hundred forty".