67479085704960 has 1728 divisors, whose sum is σ = 265761277157376. Its totient is φ = 16339702579200.

The previous prime is 67479085704941. The next prime is 67479085704973. The reversal of 67479085704960 is 6940758097476.

67479085704960 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 9 + 0 + 8 + 570 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11753887690 + ... + 11753893430.

It is an arithmetic number, because the mean of its divisors is an integer number (153797035392).

Almost surely, 2^{67479085704960} is an apocalyptic number.

67479085704960 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 67479085704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132880638578688).

67479085704960 is an abundant number, since it is smaller than the sum of its proper divisors (198282191452416).

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

67479085704960 is a wasteful number, since it uses less digits than its factorization.

67479085704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 67479085704960 in words is "sixty-seven trillion, four hundred seventy-nine billion, eighty-five million, seven hundred four thousand, nine hundred sixty".