68886132480 has 1620 divisors, whose sum is σ = 302954587320. Its totient is φ = 14890106880.

The previous prime is 68886132473. The next prime is 68886132481. The reversal of 68886132480 is 8423168886.

68886132480 is a `hidden beast` number, since 6 + 88 + 86 + 1 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×68886132480² (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 not an unprimeable number, because it can be changed into a prime (68886132481) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3625585911 + ... + 3625585929.

Almost surely, 2^68886132480 is an apocalyptic number.

68886132480 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 68886132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151477293660).

68886132480 is an abundant number, since it is smaller than the sum of its proper divisors (234068454840).

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

68886132480 is a wasteful number, since it uses less digits than its factorization.

68886132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

It can be divided in two parts, 688 and 86132480, that added together give a palindrome (86133168).

The spelling of 68886132480 in words is "sixty-eight billion, eight hundred eighty-six million, one hundred thirty-two thousand, four hundred eighty".