68972460480 has 1344 divisors, whose sum is σ = 311615815680. Its totient is φ = 13586227200.

The previous prime is 68972460463. The next prime is 68972460509. The reversal of 68972460480 is 8406427986.

68972460480 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 24 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 543090177 + ... + 543090303.

Almost surely, 2^68972460480 is an apocalyptic number.

68972460480 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 68972460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155807907840).

68972460480 is an abundant number, since it is smaller than the sum of its proper divisors (242643355200).

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

68972460480 is a wasteful number, since it uses less digits than its factorization.

68972460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68972460480 in words is "sixty-eight billion, nine hundred seventy-two million, four hundred sixty thousand, four hundred eighty".