64406016000 has 520 divisors, whose sum is σ = 240269093064. Its totient is φ = 17163878400.

The previous prime is 64406015983. The next prime is 64406016047. The reversal of 64406016000 is 61060446.

64406016000 is a `hidden beast` number, since 6 + 440 + 60 + 160 + 0 + 0 = 666.

64406016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11851370496 + 52554645504 = 108864^2 + 229248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471224 + ... + 41472776.

Almost surely, 2^64406016000 is an apocalyptic number.

64406016000 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 64406016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120134546532).

64406016000 is an abundant number, since it is smaller than the sum of its proper divisors (175863077064).

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

64406016000 is an equidigital number, since it uses as much as digits as its factorization.

64406016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 64406016000 its reverse (61060446), we get a palindrome (64467076446).

The spelling of 64406016000 in words is "sixty-four billion, four hundred six million, sixteen thousand".