6137011664 has 60 divisors (see below), whose sum is σ = 14026700448. Its totient is φ = 2593080000.

The previous prime is 6137011637. The next prime is 6137011667. The reversal of 6137011664 is 4661107316.

It is a super-3 number, since 3×6137011664³ (a number of 30 digits) contains 333 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6137011667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539 + ... + 110789.

Almost surely, 2^6137011664 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 6137011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013350224).

6137011664 is an abundant number, since it is smaller than the sum of its proper divisors (7889688784).

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

6137011664 is a wasteful number, since it uses less digits than its factorization.

6137011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110344 (or 110331 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 6137011664 is about 78339.0813323720. The cubic root of 6137011664 is about 1830.8481107705.

The spelling of 6137011664 in words is "six billion, one hundred thirty-seven million, eleven thousand, six hundred sixty-four".