1537642656 has 384 divisors, whose sum is σ = 5364817920. Its totient is φ = 423014400.

The previous prime is 1537642627. The next prime is 1537642663. The reversal of 1537642656 is 6562467351.

1537642656 is a `hidden beast` number, since 1 + 537 + 64 + 2 + 6 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5008455 + ... + 5008761.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^1537642656 is an apocalyptic number.

1537642656 is a gapful number since it is divisible by the number (16) 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 1537642656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

1537642656 is an abundant number, since it is smaller than the sum of its proper divisors (3827175264).

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

1537642656 is a wasteful number, since it uses less digits than its factorization.

1537642656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 1537642656 is about 39212.7868940732. The cubic root of 1537642656 is about 1154.2108152511.

The spelling of 1537642656 in words is "one billion, five hundred thirty-seven million, six hundred forty-two thousand, six hundred fifty-six".