968647680 has 1056 divisors, whose sum is σ = 4704497280. Its totient is φ = 185794560.

The previous prime is 968647657. The next prime is 968647699. The reversal of 968647680 is 86746869.

968647680 is a `hidden beast` number, since 96 + 8 + 6 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511354 + ... + 74511366.

Almost surely, 2^968647680 is an apocalyptic number.

968647680 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 968647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352248640).

968647680 is an abundant number, since it is smaller than the sum of its proper divisors (3735849600).

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

968647680 is a wasteful number, since it uses less digits than its factorization.

968647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 968647680 is about 31123.1052435325. The cubic root of 968647680 is about 989.4380649381.

The spelling of 968647680 in words is "nine hundred sixty-eight million, six hundred forty-seven thousand, six hundred eighty".