6072378624 has 144 divisors (see below), whose sum is σ = 19338692800. Its totient is φ = 1868396544.

The previous prime is 6072378623. The next prime is 6072378671. The reversal of 6072378624 is 4268732706.

6072378624 is a `hidden beast` number, since 607 + 2 + 37 + 8 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 6072378624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6072378623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56067 + ... + 123645.

Almost surely, 2^6072378624 is an apocalyptic number.

6072378624 is a gapful number since it is divisible by the number (64) 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 6072378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669346400).

6072378624 is an abundant number, since it is smaller than the sum of its proper divisors (13266314176).

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

6072378624 is a wasteful number, since it uses less digits than its factorization.

6072378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67617 (or 67597 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6072378624 is about 77925.4683912776. The cubic root of 6072378624 is about 1824.3981125462.

The spelling of 6072378624 in words is "six billion, seventy-two million, three hundred seventy-eight thousand, six hundred twenty-four".