64618090400448 has 224 divisors, whose sum is σ = 204618303691200. Its totient is φ = 19878565404672.

The previous prime is 64618090400407. The next prime is 64618090400453. The reversal of 64618090400448 is 84400409081646.

64618090400448 is a `hidden beast` number, since 64 + 6 + 18 + 0 + 90 + 40 + 0 + 448 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64618090400394 and 64618090400403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114577138 + ... + 115139726.

It is an arithmetic number, because the mean of its divisors is an integer number (913474570050).

Almost surely, 2^{64618090400448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64618090400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102309151845600).

64618090400448 is an abundant number, since it is smaller than the sum of its proper divisors (140000213290752).

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

64618090400448 is a wasteful number, since it uses less digits than its factorization.

64618090400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567736 (or 567720 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 64618090400448 in words is "sixty-four trillion, six hundred eighteen billion, ninety million, four hundred thousand, four hundred forty-eight".