6137604480 has 256 divisors, whose sum is σ = 22445222400. Its totient is φ = 1397440512.

The previous prime is 6137604467. The next prime is 6137604497. The reversal of 6137604480 is 844067316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4205991 + ... + 4207449.

It is an arithmetic number, because the mean of its divisors is an integer number (87676650).

Almost surely, 2^6137604480 is an apocalyptic number.

6137604480 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 6137604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11222611200).

6137604480 is an abundant number, since it is smaller than the sum of its proper divisors (16307617920).

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

6137604480 is a wasteful number, since it uses less digits than its factorization.

6137604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6137604480 is about 78342.8648952794. The cubic root of 6137604480 is about 1830.9070602596.

The spelling of 6137604480 in words is "six billion, one hundred thirty-seven million, six hundred four thousand, four hundred eighty".