70986516480 has 768 divisors, whose sum is σ = 291679315200. Its totient is φ = 16184770560.

The previous prime is 70986516479. The next prime is 70986516481. The reversal of 70986516480 is 8461568907.

70986516480 is a `hidden beast` number, since 7 + 0 + 9 + 86 + 516 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70986516479) and next prime (70986516481).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70986516481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51701074 + ... + 51702446.

It is an arithmetic number, because the mean of its divisors is an integer number (379790775).

Almost surely, 2^70986516480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70986516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145839657600).

70986516480 is an abundant number, since it is smaller than the sum of its proper divisors (220692798720).

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

70986516480 is a wasteful number, since it uses less digits than its factorization.

70986516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 70986516480 in words is "seventy billion, nine hundred eighty-six million, five hundred sixteen thousand, four hundred eighty".