68747754240 has 576 divisors, whose sum is σ = 268257830400. Its totient is φ = 16533504000.

The previous prime is 68747754217. The next prime is 68747754247. The reversal of 68747754240 is 4245774786.

68747754240 is a `hidden beast` number, since 6 + 87 + 477 + 54 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (68747754247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52841590 + ... + 52842890.

It is an arithmetic number, because the mean of its divisors is an integer number (465725400).

Almost surely, 2^68747754240 is an apocalyptic number.

68747754240 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 68747754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134128915200).

68747754240 is an abundant number, since it is smaller than the sum of its proper divisors (199510076160).

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

68747754240 is a wasteful number, since it uses less digits than its factorization.

68747754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 68747754240 in words is "sixty-eight billion, seven hundred forty-seven million, seven hundred fifty-four thousand, two hundred forty".