68787532800 has 990 divisors, whose sum is σ = 296735465862. Its totient is φ = 15699640320.

The previous prime is 68787532787. The next prime is 68787532829. The reversal of 68787532800 is 823578786.

It can be written as a sum of positive squares in 3 ways, for example, as 22255865856 + 46531666944 = 149184^2 + 215712^2 .

It is a super-2 number, since 2×68787532800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606062 + ... + 101606738.

Almost surely, 2^68787532800 is an apocalyptic number.

68787532800 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 68787532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148367732931).

68787532800 is an abundant number, since it is smaller than the sum of its proper divisors (227947933062).

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

68787532800 is a wasteful number, since it uses less digits than its factorization.

68787532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 68787532800 in words is "sixty-eight billion, seven hundred eighty-seven million, five hundred thirty-two thousand, eight hundred".