6157172024640 has 3024 divisors, whose sum is σ = 28367939313792. Its totient is φ = 1245119496192.

The previous prime is 6157172024587. The next prime is 6157172024681. The reversal of 6157172024640 is 464202717516.

6157172024640 is a `hidden beast` number, since 6 + 1 + 571 + 72 + 0 + 2 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 91898089887 + ... + 91898089953.

Almost surely, 2^{6157172024640} is an apocalyptic number.

6157172024640 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 6157172024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183969656896).

6157172024640 is an abundant number, since it is smaller than the sum of its proper divisors (22210767289152).

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

6157172024640 is an equidigital number, since it uses as much as digits as its factorization.

6157172024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 6157172024640 in words is "six trillion, one hundred fifty-seven billion, one hundred seventy-two million, twenty-four thousand, six hundred forty".