64877604480000 has 1100 divisors, whose sum is σ = 260719343775660. Its totient is φ = 15969705984000.

The previous prime is 64877604479917. The next prime is 64877604480001. The reversal of 64877604480000 is 8440677846.

64877604480000 is a `hidden beast` number, since 64 + 87 + 7 + 60 + 448 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 40672149110784 + 24205455369216 = 6377472^2 + 4919904^2 .

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 (64877604480001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 673871866 + ... + 673968134.

Almost surely, 2^{64877604480000} is an apocalyptic number.

64877604480000 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 64877604480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130359671887830).

64877604480000 is an abundant number, since it is smaller than the sum of its proper divisors (195841739295660).

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

64877604480000 is an equidigital number, since it uses as much as digits as its factorization.

64877604480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96334 (or 96292 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 64877604480000 in words is "sixty-four trillion, eight hundred seventy-seven billion, six hundred four million, four hundred eighty thousand".