6157164948480 has 3168 divisors, whose sum is σ = 29411105645376. Its totient is φ = 1220001398784.

The previous prime is 6157164948479. The next prime is 6157164948553. The reversal of 6157164948480 is 848494617516.

6157164948480 is a `hidden beast` number, since 6 + 1 + 5 + 7 + 1 + 64 + 94 + 8 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13473008412 + ... + 13473008868.

Almost surely, 2^{6157164948480} is an apocalyptic number.

6157164948480 is a gapful number since it is divisible by the number (60) 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 6157164948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705552822688).

6157164948480 is an abundant number, since it is smaller than the sum of its proper divisors (23253940696896).

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

6157164948480 is a wasteful number, since it uses less digits than its factorization.

6157164948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6157164948480 in words is "six trillion, one hundred fifty-seven billion, one hundred sixty-four million, nine hundred forty-eight thousand, four hundred eighty".