68757258240 has 768 divisors, whose sum is σ = 271371522240. Its totient is φ = 16562257920.

The previous prime is 68757258223. The next prime is 68757258329. The reversal of 68757258240 is 4285275786.

68757258240 is a `hidden beast` number, since 6 + 8 + 7 + 57 + 2 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437944242 + ... + 437944398.

Almost surely, 2^68757258240 is an apocalyptic number.

68757258240 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 68757258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135685761120).

68757258240 is an abundant number, since it is smaller than the sum of its proper divisors (202614264000).

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

68757258240 is an equidigital number, since it uses as much as digits as its factorization.

68757258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 68757258240 in words is "sixty-eight billion, seven hundred fifty-seven million, two hundred fifty-eight thousand, two hundred forty".