6123972624 has 480 divisors, whose sum is σ = 21177311232. Its totient is φ = 1490227200.

The previous prime is 6123972607. The next prime is 6123972629. The reversal of 6123972624 is 4262793216.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123972629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54194392 + ... + 54194504.

Almost surely, 2^6123972624 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 6123972624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588655616).

6123972624 is an abundant number, since it is smaller than the sum of its proper divisors (15053338608).

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

6123972624 is a wasteful number, since it uses less digits than its factorization.

6123972624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 6123972624 is about 78255.8152727323. The cubic root of 6123972624 is about 1829.5505504378.

The spelling of 6123972624 in words is "six billion, one hundred twenty-three million, nine hundred seventy-two thousand, six hundred twenty-four".