16465760640 has 384 divisors, whose sum is σ = 65279934720. Its totient is φ = 3746304000.

The previous prime is 16465760627. The next prime is 16465760657. The reversal of 16465760640 is 4606756461.

16465760640 is a `hidden beast` number, since 16 + 4 + 6 + 576 + 0 + 64 + 0 = 666.

16465760640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16465760640² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10119507 + ... + 10121133.

It is an arithmetic number, because the mean of its divisors is an integer number (169999830).

Almost surely, 2^16465760640 is an apocalyptic number.

16465760640 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 16465760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32639967360).

16465760640 is an abundant number, since it is smaller than the sum of its proper divisors (48814174080).

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

16465760640 is a wasteful number, since it uses less digits than its factorization.

16465760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 16465760640 in words is "sixteen billion, four hundred sixty-five million, seven hundred sixty thousand, six hundred forty".