880063712640 has 1024 divisors, whose sum is σ = 3745792512000. Its totient is φ = 190924259328.

The previous prime is 880063712629. The next prime is 880063712669. The reversal of 880063712640 is 46217360088.

880063712640 is a `hidden beast` number, since 8 + 8 + 0 + 0 + 637 + 1 + 2 + 6 + 4 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 381143806 + ... + 381146114.

It is an arithmetic number, because the mean of its divisors is an integer number (3658000500).

Almost surely, 2^880063712640 is an apocalyptic number.

880063712640 is a gapful number since it is divisible by the number (80) 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 880063712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872896256000).

880063712640 is an abundant number, since it is smaller than the sum of its proper divisors (2865728799360).

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

880063712640 is a wasteful number, since it uses less digits than its factorization.

880063712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2486 counting only the distinct ones).

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

The spelling of 880063712640 in words is "eight hundred eighty billion, sixty-three million, seven hundred twelve thousand, six hundred forty".