68763456000 has 480 divisors, whose sum is σ = 255728918016. Its totient is φ = 17740800000.

The previous prime is 68763455987. The next prime is 68763456011. The reversal of 68763456000 is 65436786.

68763456000 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 34 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17854075 + ... + 17857925.

Almost surely, 2^68763456000 is an apocalyptic number.

68763456000 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 68763456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127864459008).

68763456000 is an abundant number, since it is smaller than the sum of its proper divisors (186965462016).

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

68763456000 is a wasteful number, since it uses less digits than its factorization.

68763456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 68763456000 in words is "sixty-eight billion, seven hundred sixty-three million, four hundred fifty-six thousand".