68864084150400 has 3456 divisors, whose sum is σ = 337018162790400. Its totient is φ = 13553829273600.

The previous prime is 68864084150387. The next prime is 68864084150461. The reversal of 68864084150400 is 405148046886.

It is a happy number.

68864084150400 is a `hidden beast` number, since 6 + 8 + 8 + 6 + 4 + 0 + 84 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 431 ways as a sum of consecutive naturals, for example, 12513914049 + ... + 12513919551.

Almost surely, 2^{68864084150400} is an apocalyptic number.

68864084150400 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 68864084150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168509081395200).

68864084150400 is an abundant number, since it is smaller than the sum of its proper divisors (268154078640000).

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

68864084150400 is a wasteful number, since it uses less digits than its factorization.

68864084150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 68864084150400 in words is "sixty-eight trillion, eight hundred sixty-four billion, eighty-four million, one hundred fifty thousand, four hundred".