68976230400 has 1440 divisors, whose sum is σ = 319847861760. Its totient is φ = 14332723200.

The previous prime is 68976230381. The next prime is 68976230419. The reversal of 68976230400 is 403267986.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 4! ⋅ 3!.

68976230400 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 6 + 230 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (68976230381) and next prime (68976230419).

It is a tau number, because it is divible by the number of its divisors (1440).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6270566395 + ... + 6270566405.

Almost surely, 2^68976230400 is an apocalyptic number.

68976230400 is a gapful number since it is divisible by the number (60) 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 68976230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159923930880).

68976230400 is an abundant number, since it is smaller than the sum of its proper divisors (250871631360).

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

68976230400 is an frugal number, since it uses more digits than its factorization.

68976230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 68976230400 in words is "sixty-eight billion, nine hundred seventy-six million, two hundred thirty thousand, four hundred".