56670969600 has 1620 divisors, whose sum is σ = 256968646704. Its totient is φ = 12262440960.

The previous prime is 56670969587. The next prime is 56670969613. The reversal of 56670969600 is 696907665.

56670969600 is a `hidden beast` number, since 566 + 70 + 9 + 6 + 9 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56670969587) and next prime (56670969613).

It is a tau number, because it is divible by the number of its divisors (1620).

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 584236752 + ... + 584236848.

Almost surely, 2^56670969600 is an apocalyptic number.

56670969600 is a gapful number since it is divisible by the number (50) 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 56670969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128484323352).

56670969600 is an abundant number, since it is smaller than the sum of its proper divisors (200297677104).

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

56670969600 is a wasteful number, since it uses less digits than its factorization.

56670969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 56670969600 in words is "fifty-six billion, six hundred seventy million, nine hundred sixty-nine thousand, six hundred".