16359164640 has 576 divisors, whose sum is σ = 69319950336. Its totient is φ = 3420942336.

The previous prime is 16359164639. The next prime is 16359164641. The reversal of 16359164640 is 4646195361.

16359164640 is a `hidden beast` number, since 1 + 635 + 9 + 1 + 6 + 4 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16359164639) and next prime (16359164641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16359164641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16641589 + ... + 16642571.

It is an arithmetic number, because the mean of its divisors is an integer number (120347136).

Almost surely, 2^16359164640 is an apocalyptic number.

16359164640 is a gapful number since it is divisible by the number (10) 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 16359164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659975168).

16359164640 is an abundant number, since it is smaller than the sum of its proper divisors (52960785696).

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

16359164640 is a wasteful number, since it uses less digits than its factorization.

16359164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16359164640 in words is "sixteen billion, three hundred fifty-nine million, one hundred sixty-four thousand, six hundred forty".