70684669440 has 1600 divisors, whose sum is σ = 333679357440. Its totient is φ = 13854965760.

The previous prime is 70684669411. The next prime is 70684669457. The reversal of 70684669440 is 4496648607.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303367564 + ... + 303367796.

Almost surely, 2^70684669440 is an apocalyptic number.

70684669440 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 70684669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166839678720).

70684669440 is an abundant number, since it is smaller than the sum of its proper divisors (262994688000).

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

70684669440 is a wasteful number, since it uses less digits than its factorization.

70684669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 70684669440 in words is "seventy billion, six hundred eighty-four million, six hundred sixty-nine thousand, four hundred forty".