968451921360 has 3200 divisors, whose sum is σ = 4778848419840. Its totient is φ = 175575859200.

The previous prime is 968451921293. The next prime is 968451921433. The reversal of 968451921360 is 63129154869.

968451921360 is a `hidden beast` number, since 9 + 68 + 4 + 519 + 2 + 1 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 968451921297 and 968451921306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 7625605617 + ... + 7625605743.

Almost surely, 2^968451921360 is an apocalyptic number.

968451921360 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 968451921360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389424209920).

968451921360 is an abundant number, since it is smaller than the sum of its proper divisors (3810396498480).

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

968451921360 is a wasteful number, since it uses less digits than its factorization.

968451921360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 968451921360 in words is "nine hundred sixty-eight billion, four hundred fifty-one million, nine hundred twenty-one thousand, three hundred sixty".