64467008928000 has 864 divisors, whose sum is σ = 266368031983872. Its totient is φ = 14665383936000.

The previous prime is 64467008927987. The next prime is 64467008928011. The reversal of 64467008928000 is 82980076446.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425300224 + ... + 425451776.

Almost surely, 2^{64467008928000} is an apocalyptic number.

64467008928000 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 64467008928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133184015991936).

64467008928000 is an abundant number, since it is smaller than the sum of its proper divisors (201901023055872).

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

64467008928000 is a wasteful number, since it uses less digits than its factorization.

64467008928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151808 (or 151781 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 64467008928000 in words is "sixty-four trillion, four hundred sixty-seven billion, eight million, nine hundred twenty-eight thousand".