70233838080 has 1280 divisors, whose sum is σ = 292342431744. Its totient is φ = 14014218240.

The previous prime is 70233838079. The next prime is 70233838091. The reversal of 70233838080 is 8083833207.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×70233838080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1048266207 + ... + 1048266273.

Almost surely, 2^70233838080 is an apocalyptic number.

70233838080 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 70233838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146171215872).

70233838080 is an abundant number, since it is smaller than the sum of its proper divisors (222108593664).

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

70233838080 is a wasteful number, since it uses less digits than its factorization.

70233838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 70233838080 in words is "seventy billion, two hundred thirty-three million, eight hundred thirty-eight thousand, eighty".