70823904480 has 1152 divisors, whose sum is σ = 305941708800. Its totient is φ = 14556672000.

The previous prime is 70823904427. The next prime is 70823904523. The reversal of 70823904480 is 8440932807.

70823904480 is a `hidden beast` number, since 7 + 0 + 82 + 3 + 90 + 4 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 469032405 + ... + 469032555.

It is an arithmetic number, because the mean of its divisors is an integer number (265574400).

Almost surely, 2^70823904480 is an apocalyptic number.

70823904480 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 70823904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152970854400).

70823904480 is an abundant number, since it is smaller than the sum of its proper divisors (235117804320).

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

70823904480 is a wasteful number, since it uses less digits than its factorization.

70823904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 70823904480 in words is "seventy billion, eight hundred twenty-three million, nine hundred four thousand, four hundred eighty".