70132049715840 has 1024 divisors, whose sum is σ = 270729216000000. Its totient is φ = 15085084557312.

The previous prime is 70132049715829. The next prime is 70132049715851. The reversal of 70132049715840 is 4851794023107.

It is an interprime number because it is at equal distance from previous prime (70132049715829) and next prime (70132049715851).

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, 29233866961 + ... + 29233869359.

It is an arithmetic number, because the mean of its divisors is an integer number (264384000000).

Almost surely, 2^{70132049715840} is an apocalyptic number.

70132049715840 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 70132049715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135364608000000).

70132049715840 is an abundant number, since it is smaller than the sum of its proper divisors (200597166284160).

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

70132049715840 is a wasteful number, since it uses less digits than its factorization.

70132049715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 70132049715840 in words is "seventy trillion, one hundred thirty-two billion, forty-nine million, seven hundred fifteen thousand, eight hundred forty".