67404904560 has 960 divisors, whose sum is σ = 278900244480. Its totient is φ = 14265538560.

The previous prime is 67404904513. The next prime is 67404904571. The reversal of 67404904560 is 6540940476.

67404904560 is a `hidden beast` number, since 6 + 7 + 40 + 49 + 0 + 4 + 560 = 666.

67404904560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 530747217 + ... + 530747343.

It is an arithmetic number, because the mean of its divisors is an integer number (290521088).

Almost surely, 2^67404904560 is an apocalyptic number.

67404904560 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 67404904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139450122240).

67404904560 is an abundant number, since it is smaller than the sum of its proper divisors (211495339920).

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

67404904560 is a wasteful number, since it uses less digits than its factorization.

67404904560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 67404904560 in words is "sixty-seven billion, four hundred four million, nine hundred four thousand, five hundred sixty".