68782141440 has 728 divisors, whose sum is σ = 262996365888. Its totient is φ = 17199267840.

The previous prime is 68782141403. The next prime is 68782141451. The reversal of 68782141440 is 4414128786.

68782141440 is a `hidden beast` number, since 68 + 7 + 8 + 2 + 141 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 253808505 + ... + 253808775.

Almost surely, 2^68782141440 is an apocalyptic number.

68782141440 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 68782141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131498182944).

68782141440 is an abundant number, since it is smaller than the sum of its proper divisors (194214224448).

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

68782141440 is an equidigital number, since it uses as much as digits as its factorization.

68782141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 68782141440 in words is "sixty-eight billion, seven hundred eighty-two million, one hundred forty-one thousand, four hundred forty".