670778560800 has 1008 divisors, whose sum is σ = 2690401006440. Its totient is φ = 162477342720.

The previous prime is 670778560787. The next prime is 670778560847. The reversal of 670778560800 is 8065877076.

670778560800 is a `hidden beast` number, since 6 + 7 + 0 + 7 + 78 + 560 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 70643260944 + 600135299856 = 265788^2 + 774684^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 287516434 + ... + 287518766.

Almost surely, 2^670778560800 is an apocalyptic number.

670778560800 is a gapful number since it is divisible by the number (60) 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 670778560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345200503220).

670778560800 is an abundant number, since it is smaller than the sum of its proper divisors (2019622445640).

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

670778560800 is a wasteful number, since it uses less digits than its factorization.

670778560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 670778560800 in words is "six hundred seventy billion, seven hundred seventy-eight million, five hundred sixty thousand, eight hundred".