70742820960 has 864 divisors, whose sum is σ = 295891045632. Its totient is φ = 15911562240.

The previous prime is 70742820959. The next prime is 70742820989. The reversal of 70742820960 is 6902824707.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135263259 + ... + 135263781.

It is an arithmetic number, because the mean of its divisors is an integer number (342466488).

Almost surely, 2^70742820960 is an apocalyptic number.

70742820960 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 70742820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147945522816).

70742820960 is an abundant number, since it is smaller than the sum of its proper divisors (225148224672).

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

70742820960 is a wasteful number, since it uses less digits than its factorization.

70742820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 70742820960 in words is "seventy billion, seven hundred forty-two million, eight hundred twenty thousand, nine hundred sixty".