70948974539520 has 1728 divisors, whose sum is σ = 336054718411776. Its totient is φ = 13875350077440.

The previous prime is 70948974539507. The next prime is 70948974539587. The reversal of 70948974539520 is 2593547984907.

70948974539520 is a `hidden beast` number, since 7 + 0 + 9 + 4 + 8 + 97 + 4 + 5 + 3 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407064232 + ... + 407238488.

It is an arithmetic number, because the mean of its divisors is an integer number (194476110192).

Almost surely, 2^{70948974539520} is an apocalyptic number.

70948974539520 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 70948974539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168027359205888).

70948974539520 is an abundant number, since it is smaller than the sum of its proper divisors (265105743872256).

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

70948974539520 is a wasteful number, since it uses less digits than its factorization.

70948974539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174328 (or 174302 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 70948974539520 in words is "seventy trillion, nine hundred forty-eight billion, nine hundred seventy-four million, five hundred thirty-nine thousand, five hundred twenty".