68748782400 has 840 divisors, whose sum is σ = 265018052640. Its totient is φ = 17535191040.

The previous prime is 68748782371. The next prime is 68748782441. The reversal of 68748782400 is 428784786.

It is a happy number.

68748782400 is a `hidden beast` number, since 6 + 87 + 4 + 87 + 82 + 400 = 666.

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 119 ways as a sum of consecutive naturals, for example, 1165233571 + ... + 1165233629.

Almost surely, 2^68748782400 is an apocalyptic number.

68748782400 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 68748782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132509026320).

68748782400 is an abundant number, since it is smaller than the sum of its proper divisors (196269270240).

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

68748782400 is an frugal number, since it uses more digits than its factorization.

68748782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 68748782400 in words is "sixty-eight billion, seven hundred forty-eight million, seven hundred eighty-two thousand, four hundred".