70241256896832 has 1120 divisors, whose sum is σ = 259744058900480. Its totient is φ = 18315607818240.

The previous prime is 70241256896821. The next prime is 70241256896869. The reversal of 70241256896832 is 23869865214207.

70241256896832 is a `hidden beast` number, since 7 + 0 + 2 + 4 + 1 + 2 + 568 + 9 + 68 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 70241256896832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4766312568 + ... + 4766327304.

It is an arithmetic number, because the mean of its divisors is an integer number (231914338304).

It is a 2-persistent number, because it is pandigital, and so is 2⋅70241256896832 = 140482513793664, but 3⋅70241256896832 = 210723770690496 is not.

Almost surely, 2^{70241256896832} is an apocalyptic number.

70241256896832 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 70241256896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129872029450240).

70241256896832 is an abundant number, since it is smaller than the sum of its proper divisors (189502802003648).

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

70241256896832 is a wasteful number, since it uses less digits than its factorization.

70241256896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041 (or 15022 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 70241256896832 in words is "seventy trillion, two hundred forty-one billion, two hundred fifty-six million, eight hundred ninety-six thousand, eight hundred thirty-two".