67504668710400 has 1920 divisors, whose sum is σ = 263548851793920. Its totient is φ = 16895803392000.

The previous prime is 67504668710377. The next prime is 67504668710407. The reversal of 67504668710400 is 401786640576.

67504668710400 is a `hidden beast` number, since 6 + 7 + 50 + 466 + 87 + 10 + 40 + 0 = 666.

67504668710400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67504668710407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99711474862 + ... + 99711475538.

It is an arithmetic number, because the mean of its divisors is an integer number (137265026976).

Almost surely, 2^{67504668710400} is an apocalyptic number.

67504668710400 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 67504668710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131774425896960).

67504668710400 is an abundant number, since it is smaller than the sum of its proper divisors (196044183083520).

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

67504668710400 is a wasteful number, since it uses less digits than its factorization.

67504668710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 67504668710400 in words is "sixty-seven trillion, five hundred four billion, six hundred sixty-eight million, seven hundred ten thousand, four hundred".