70972341842688 has 1152 divisors, whose sum is σ = 228972423020544. Its totient is φ = 19234381824000.

The previous prime is 70972341842671. The next prime is 70972341842723. The reversal of 70972341842688 is 88624814327907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116923132881 + ... + 116923133487.

It is an arithmetic number, because the mean of its divisors is an integer number (198760783872).

Almost surely, 2^{70972341842688} is an apocalyptic number.

70972341842688 is a gapful number since it is divisible by the number (78) 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 70972341842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114486211510272).

70972341842688 is an abundant number, since it is smaller than the sum of its proper divisors (158000081177856).

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

70972341842688 is a wasteful number, since it uses less digits than its factorization.

70972341842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 70972341842688 in words is "seventy trillion, nine hundred seventy-two billion, three hundred forty-one million, eight hundred forty-two thousand, six hundred eighty-eight".