67474948678560 has 384 divisors, whose sum is σ = 240070229118720. Its totient is φ = 17918636175360.

The previous prime is 67474948678537. The next prime is 67474948678603. The reversal of 67474948678560 is 6587684947476.

67474948678560 is a `hidden beast` number, since 6 + 7 + 4 + 7 + 4 + 9 + 48 + 6 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 67474948678560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83930659 + ... + 84730781.

It is an arithmetic number, because the mean of its divisors is an integer number (625182888330).

Almost surely, 2^{67474948678560} is an apocalyptic number.

67474948678560 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 67474948678560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120035114559360).

67474948678560 is an abundant number, since it is smaller than the sum of its proper divisors (172595280440160).

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

67474948678560 is an equidigital number, since it uses as much as digits as its factorization.

67474948678560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800400 (or 800374 counting only the distinct ones).

The product of its (nonzero) digits is 13655900160, while the sum is 81.

The spelling of 67474948678560 in words is "sixty-seven trillion, four hundred seventy-four billion, nine hundred forty-eight million, six hundred seventy-eight thousand, five hundred sixty".