16164872640 has 252 divisors, whose sum is σ = 64678611816. Its totient is φ = 3694795776.

The previous prime is 16164872621. The next prime is 16164872663. The reversal of 16164872640 is 4627846161.

16164872640 is a `hidden beast` number, since 1 + 616 + 4 + 8 + 7 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×16164872640² (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 zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83847 + ... + 198393.

It is an arithmetic number, because the mean of its divisors is an integer number (256661158).

Almost surely, 2^16164872640 is an apocalyptic number.

16164872640 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 16164872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32339305908).

16164872640 is an abundant number, since it is smaller than the sum of its proper divisors (48513739176).

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

16164872640 is a wasteful number, since it uses less digits than its factorization.

16164872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114584 (or 114564 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16164872640 in words is "sixteen billion, one hundred sixty-four million, eight hundred seventy-two thousand, six hundred forty".