6612645371904 has 1120 divisors, whose sum is σ = 23386953211776. Its totient is φ = 1835544084480.

The previous prime is 6612645371897. The next prime is 6612645371929. The reversal of 6612645371904 is 4091735462166.

It is a happy number.

6612645371904 is a `hidden beast` number, since 6 + 6 + 1 + 264 + 5 + 371 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 21539561319 + ... + 21539561625.

Almost surely, 2^{6612645371904} is an apocalyptic number.

6612645371904 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 6612645371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693476605888).

6612645371904 is an abundant number, since it is smaller than the sum of its proper divisors (16774307839872).

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

6612645371904 is a wasteful number, since it uses less digits than its factorization.

6612645371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6612645371904 in words is "six trillion, six hundred twelve billion, six hundred forty-five million, three hundred seventy-one thousand, nine hundred four".