68955818400 has 1512 divisors, whose sum is σ = 311485063680. Its totient is φ = 14814213120.

The previous prime is 68955818359. The next prime is 68955818423. The reversal of 68955818400 is 481855986.

It is a happy number.

68955818400 is a `hidden beast` number, since 6 + 8 + 9 + 558 + 1 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 251 ways as a sum of consecutive naturals, for example, 542959137 + ... + 542959263.

It is an arithmetic number, because the mean of its divisors is an integer number (206008640).

Almost surely, 2^68955818400 is an apocalyptic number.

68955818400 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 68955818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155742531840).

68955818400 is an abundant number, since it is smaller than the sum of its proper divisors (242529245280).

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

68955818400 is a wasteful number, since it uses less digits than its factorization.

68955818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 68955818400 in words is "sixty-eight billion, nine hundred fifty-five million, eight hundred eighteen thousand, four hundred".