64806388416 has 896 divisors, whose sum is σ = 249255198720. Its totient is φ = 16024780800.

The previous prime is 64806388399. The next prime is 64806388447. The reversal of 64806388416 is 61488360846.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 268906056 + ... + 268906296.

Almost surely, 2^64806388416 is an apocalyptic number.

64806388416 is a gapful number since it is divisible by the number (66) 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 64806388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124627599360).

64806388416 is an abundant number, since it is smaller than the sum of its proper divisors (184448810304).

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

64806388416 is a wasteful number, since it uses less digits than its factorization.

64806388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

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

The spelling of 64806388416 in words is "sixty-four billion, eight hundred six million, three hundred eighty-eight thousand, four hundred sixteen".