883796465664 has 768 divisors, whose sum is σ = 3335230080000. Its totient is φ = 225119305728.

The previous prime is 883796465659. The next prime is 883796465791. The reversal of 883796465664 is 466564697388.

883796465664 is a `hidden beast` number, since 88 + 379 + 64 + 65 + 6 + 64 = 666.

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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 883796465592 and 883796465601.

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 63 ways as a sum of consecutive naturals, for example, 125020722 + ... + 125027790.

It is an arithmetic number, because the mean of its divisors is an integer number (4342747500).

Almost surely, 2^883796465664 is an apocalyptic number.

883796465664 is a gapful number since it is divisible by the number (84) 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 883796465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667615040000).

883796465664 is an abundant number, since it is smaller than the sum of its proper divisors (2451433614336).

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

883796465664 is a wasteful number, since it uses less digits than its factorization.

883796465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7117 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 883796465664 in words is "eight hundred eighty-three billion, seven hundred ninety-six million, four hundred sixty-five thousand, six hundred sixty-four".