6611956800 has 84 divisors (see below), whose sum is σ = 21692744016. Its totient is φ = 1763187200.

The previous prime is 6611956789. The next prime is 6611956807. The reversal of 6611956800 is 86591166.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6611956807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683946 + ... + 693545.

Almost surely, 2^6611956800 is an apocalyptic number.

6611956800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6611956800 is an abundant number, since it is smaller than the sum of its proper divisors (15080787216).

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

6611956800 is a wasteful number, since it uses less digits than its factorization.

6611956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377516 (or 1377501 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 6611956800 is about 81313.9397643479. The cubic root of 6611956800 is about 1876.9095142316.

The spelling of 6611956800 in words is "six billion, six hundred eleven million, nine hundred fifty-six thousand, eight hundred".