68949964272000 has 2048 divisors, whose sum is σ = 282108303360000. Its totient is φ = 14849436672000.

The previous prime is 68949964271953. The next prime is 68949964272011. The reversal of 68949964272000 is 27246994986.

It is a super-2 number, since 2×68949964272000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71009231515 + ... + 71009232485.

It is an arithmetic number, because the mean of its divisors is an integer number (137748195000).

Almost surely, 2^{68949964272000} is an apocalyptic number.

68949964272000 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 68949964272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141054151680000).

68949964272000 is an abundant number, since it is smaller than the sum of its proper divisors (213158339088000).

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

68949964272000 is a wasteful number, since it uses less digits than its factorization.

68949964272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 68949964272000 in words is "sixty-eight trillion, nine hundred forty-nine billion, nine hundred sixty-four million, two hundred seventy-two thousand".