70131821760 has 2688 divisors, whose sum is σ = 362344679424. Its totient is φ = 12421693440.

The previous prime is 70131821729. The next prime is 70131821779. The reversal of 70131821760 is 6712813107.

70131821760 is a `hidden beast` number, since 70 + 1 + 318 + 217 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1323241894 + ... + 1323241946.

It is an arithmetic number, because the mean of its divisors is an integer number (134800848).

Almost surely, 2^70131821760 is an apocalyptic number.

70131821760 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 70131821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181172339712).

70131821760 is an abundant number, since it is smaller than the sum of its proper divisors (292212857664).

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

70131821760 is a wasteful number, since it uses less digits than its factorization.

70131821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 70131821760 in words is "seventy billion, one hundred thirty-one million, eight hundred twenty-one thousand, seven hundred sixty".