6014256864 has 288 divisors, whose sum is σ = 20469044736. Its totient is φ = 1528289280.

The previous prime is 6014256851. The next prime is 6014256973. The reversal of 6014256864 is 4686524106.

It is a super-2 number, since 2×6014256864² = 72342571252342228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2430732 + ... + 2433204.

It is an arithmetic number, because the mean of its divisors is an integer number (71073072).

Almost surely, 2^6014256864 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 6014256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234522368).

6014256864 is an abundant number, since it is smaller than the sum of its proper divisors (14454787872).

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

6014256864 is a wasteful number, since it uses less digits than its factorization.

6014256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6014256864 is about 77551.6399826593. The cubic root of 6014256864 is about 1818.5587011134.

The spelling of 6014256864 in words is "six billion, fourteen million, two hundred fifty-six thousand, eight hundred sixty-four".