68883399708480 has 3360 divisors, whose sum is σ = 312404569804800. Its totient is φ = 14308262019072.

The previous prime is 68883399708443. The next prime is 68883399708481. The reversal of 68883399708480 is 8480799338886.

68883399708480 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 3 + 399 + 70 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 68883399708480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68883399708481) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 179852218369 + ... + 179852218751.

Almost surely, 2^{68883399708480} is an apocalyptic number.

68883399708480 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 68883399708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156202284902400).

68883399708480 is an abundant number, since it is smaller than the sum of its proper divisors (243521170096320).

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

68883399708480 is a wasteful number, since it uses less digits than its factorization.

68883399708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 68883399708480 in words is "sixty-eight trillion, eight hundred eighty-three billion, three hundred ninety-nine million, seven hundred eight thousand, four hundred eighty".