956718778680 has 512 divisors, whose sum is σ = 3729438720000. Its totient is φ = 213637077504.

The previous prime is 956718778633. The next prime is 956718778681. The reversal of 956718778680 is 86877817659.

956718778680 = 108640² + 108641² + ... + 108720².

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 = 956718778599 and 956718778608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956718778681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 72697941 + ... + 72711099.

It is an arithmetic number, because the mean of its divisors is an integer number (7284060000).

Almost surely, 2^956718778680 is an apocalyptic number.

956718778680 is a gapful number since it is divisible by the number (90) 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 956718778680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864719360000).

956718778680 is an abundant number, since it is smaller than the sum of its proper divisors (2772719941320).

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

956718778680 is a wasteful number, since it uses less digits than its factorization.

956718778680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13408 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 956718778680 in words is "nine hundred fifty-six billion, seven hundred eighteen million, seven hundred seventy-eight thousand, six hundred eighty".