70006809600 has 1980 divisors, whose sum is σ = 330873174324. Its totient is φ = 14491975680.

The previous prime is 70006809553. The next prime is 70006809641. The reversal of 70006809600 is 690860007.

It can be written as a sum of positive squares in 6 ways, for example, as 3418039296 + 66588770304 = 58464^2 + 258048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1320883174 + ... + 1320883226.

Almost surely, 2^70006809600 is an apocalyptic number.

70006809600 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 70006809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165436587162).

70006809600 is an abundant number, since it is smaller than the sum of its proper divisors (260866364724).

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

70006809600 is a wasteful number, since it uses less digits than its factorization.

70006809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 70006809600 in words is "seventy billion, six million, eight hundred nine thousand, six hundred".