6157486400 has 336 divisors, whose sum is σ = 17387303808. Its totient is φ = 2128896000.

The previous prime is 6157486397. The next prime is 6157486421. The reversal of 6157486400 is 46847516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29182295 + ... + 29182505.

It is an arithmetic number, because the mean of its divisors is an integer number (51747928).

Almost surely, 2^6157486400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6157486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693651904).

6157486400 is an abundant number, since it is smaller than the sum of its proper divisors (11229817408).

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

6157486400 is a wasteful number, since it uses less digits than its factorization.

6157486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 6157486400 is about 78469.6527327603. The cubic root of 6157486400 is about 1832.8819193460.

The spelling of 6157486400 in words is "six billion, one hundred fifty-seven million, four hundred eighty-six thousand, four hundred".