70168492800 has 1296 divisors, whose sum is σ = 314929218240. Its totient is φ = 14533263360.

The previous prime is 70168492729. The next prime is 70168492819. The reversal of 70168492800 is 829486107.

70168492800 is a `hidden beast` number, since 70 + 16 + 8 + 492 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198777424 + ... + 198777776.

It is an arithmetic number, because the mean of its divisors is an integer number (243000940).

Almost surely, 2^70168492800 is an apocalyptic number.

70168492800 is a gapful number since it is divisible by the number (70) 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 70168492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157464609120).

70168492800 is an abundant number, since it is smaller than the sum of its proper divisors (244760725440).

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

70168492800 is a wasteful number, since it uses less digits than its factorization.

70168492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 70168492800 in words is "seventy billion, one hundred sixty-eight million, four hundred ninety-two thousand, eight hundred".