70642666080 has 672 divisors, whose sum is σ = 295302647808. Its totient is φ = 15620428800.

The previous prime is 70642666043. The next prime is 70642666093. The reversal of 70642666080 is 8066624607.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 111 ways as a sum of consecutive naturals, for example, 25309485 + ... + 25312275.

It is an arithmetic number, because the mean of its divisors is an integer number (439438464).

Almost surely, 2^70642666080 is an apocalyptic number.

70642666080 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 70642666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147651323904).

70642666080 is an abundant number, since it is smaller than the sum of its proper divisors (224659981728).

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

70642666080 is a wasteful number, since it uses less digits than its factorization.

70642666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 70642666080 in words is "seventy billion, six hundred forty-two million, six hundred sixty-six thousand, eighty".