68820760800 has 432 divisors, whose sum is σ = 265781395152. Its totient is φ = 16618291200.

The previous prime is 68820760777. The next prime is 68820760823. The reversal of 68820760800 is 806702886.

It is an interprime number because it is at equal distance from previous prime (68820760777) and next prime (68820760823).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21936832 + ... + 21939968.

It is an arithmetic number, because the mean of its divisors is an integer number (615234711).

Almost surely, 2^68820760800 is an apocalyptic number.

68820760800 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 68820760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132890697576).

68820760800 is an abundant number, since it is smaller than the sum of its proper divisors (196960634352).

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

68820760800 is a wasteful number, since it uses less digits than its factorization.

68820760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 68820760800 in words is "sixty-eight billion, eight hundred twenty million, seven hundred sixty thousand, eight hundred".