6022625511672 has 1536 divisors, whose sum is σ = 23412105216000. Its totient is φ = 1412836992000.

The previous prime is 6022625511647. The next prime is 6022625511731. The reversal of 6022625511672 is 2761155262206.

6022625511672 is a `hidden beast` number, since 6 + 0 + 2 + 2 + 62 + 5 + 511 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 4868734638 + ... + 4868735874.

It is an arithmetic number, because the mean of its divisors is an integer number (15242256000).

Almost surely, 2^{6022625511672} is an apocalyptic number.

6022625511672 is a gapful number since it is divisible by the number (62) 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 6022625511672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706052608000).

6022625511672 is an abundant number, since it is smaller than the sum of its proper divisors (17389479704328).

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

6022625511672 is a wasteful number, since it uses less digits than its factorization.

6022625511672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6022625511672 in words is "six trillion, twenty-two billion, six hundred twenty-five million, five hundred eleven thousand, six hundred seventy-two".