70739000640 has 1008 divisors, whose sum is σ = 312658085376. Its totient is φ = 14362951680.

The previous prime is 70739000627. The next prime is 70739000669. The reversal of 70739000640 is 4600093707.

70739000640 is a `hidden beast` number, since 7 + 0 + 7 + 3 + 9 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×70739000640³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 70739000595 and 70739000604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114649612 + ... + 114650228.

It is an arithmetic number, because the mean of its divisors is an integer number (310176672).

Almost surely, 2^70739000640 is an apocalyptic number.

70739000640 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 70739000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156329042688).

70739000640 is an abundant number, since it is smaller than the sum of its proper divisors (241919084736).

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

70739000640 is a wasteful number, since it uses less digits than its factorization.

70739000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 70739000640 in words is "seventy billion, seven hundred thirty-nine million, six hundred forty", and thus it is an aban number.