70400627666688 has 288 divisors, whose sum is σ = 211036246493184. Its totient is φ = 20641351680000.

The previous prime is 70400627666651. The next prime is 70400627666701. The reversal of 70400627666688 is 88666672600407.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524426958 + ... + 1524473138.

It is an arithmetic number, because the mean of its divisors is an integer number (732764744768).

Almost surely, 2^{70400627666688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70400627666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105518123246592).

70400627666688 is an abundant number, since it is smaller than the sum of its proper divisors (140635618826496).

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

70400627666688 is a wasteful number, since it uses less digits than its factorization.

70400627666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52063 (or 52049 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 70400627666688 in words is "seventy trillion, four hundred billion, six hundred twenty-seven million, six hundred sixty-six thousand, six hundred eighty-eight".