70817893440 has 448 divisors, whose sum is σ = 265138741248. Its totient is φ = 15676416000.

The previous prime is 70817893439. The next prime is 70817893451. The reversal of 70817893440 is 4439871807.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67380915 + ... + 67381965.

Almost surely, 2^70817893440 is an apocalyptic number.

70817893440 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 70817893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132569370624).

70817893440 is an abundant number, since it is smaller than the sum of its proper divisors (194320847808).

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

70817893440 is a wasteful number, since it uses less digits than its factorization.

70817893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 70817893440 in words is "seventy billion, eight hundred seventeen million, eight hundred ninety-three thousand, four hundred forty".