70727136480 has 1152 divisors, whose sum is σ = 327314856960. Its totient is φ = 13430292480.

The previous prime is 70727136463. The next prime is 70727136541. The reversal of 70727136480 is 8463172707.

70727136480 is a `hidden beast` number, since 7 + 0 + 72 + 71 + 36 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 200359984 + ... + 200360336.

It is an arithmetic number, because the mean of its divisors is an integer number (284127480).

Almost surely, 2^70727136480 is an apocalyptic number.

70727136480 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 70727136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163657428480).

70727136480 is an abundant number, since it is smaller than the sum of its proper divisors (256587720480).

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

70727136480 is a wasteful number, since it uses less digits than its factorization.

70727136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 70727136480 in words is "seventy billion, seven hundred twenty-seven million, one hundred thirty-six thousand, four hundred eighty".