70107033672 has 144 divisors (see below), whose sum is σ = 208012999740. Its totient is φ = 21204792576.

The previous prime is 70107033671. The next prime is 70107033683. The reversal of 70107033672 is 27633070107.

It can be written as a sum of positive squares in 2 ways, for example, as 65144394756 + 4962638916 = 255234^2 + 70446^2 .

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

It is not an unprimeable number, because it can be changed into a prime (70107033671) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3247458 + ... + 3268974.

Almost surely, 2^70107033672 is an apocalyptic number.

70107033672 is a gapful number since it is divisible by the number (72) 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 70107033672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104006499870).

70107033672 is an abundant number, since it is smaller than the sum of its proper divisors (137905966068).

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

70107033672 is a wasteful number, since it uses less digits than its factorization.

70107033672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21660 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 70107033672 in words is "seventy billion, one hundred seven million, thirty-three thousand, six hundred seventy-two".