16006577664 has 640 divisors, whose sum is σ = 59396198400. Its totient is φ = 3698196480.

The previous prime is 16006577627. The next prime is 16006577677. The reversal of 16006577664 is 46677560061.

It is a super-3 number, since 3×16006577664³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38201647 + ... + 38202065.

It is an arithmetic number, because the mean of its divisors is an integer number (92806560).

Almost surely, 2^16006577664 is an apocalyptic number.

16006577664 is a gapful number since it is divisible by the number (14) 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 16006577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29698099200).

16006577664 is an abundant number, since it is smaller than the sum of its proper divisors (43389620736).

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

16006577664 is a wasteful number, since it uses less digits than its factorization.

16006577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

It can be divided in two parts, 1600657 and 7664, that added together give a triangular number (1608321 = T₁₇₉₃).

The spelling of 16006577664 in words is "sixteen billion, six million, five hundred seventy-seven thousand, six hundred sixty-four".