16201667664 has 180 divisors, whose sum is σ = 56112959136. Its totient is φ = 4272922368.

The previous prime is 16201667639. The next prime is 16201667689. The reversal of 16201667664 is 46676610261.

16201667664 is a `hidden beast` number, since 1 + 620 + 16 + 6 + 7 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16201667639) and next prime (16201667689).

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, 122799 + ... + 217905.

Almost surely, 2^16201667664 is an apocalyptic number.

16201667664 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 16201667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28056479568).

16201667664 is an abundant number, since it is smaller than the sum of its proper divisors (39911291472).

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

16201667664 is a wasteful number, since it uses less digits than its factorization.

16201667664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95154 (or 95132 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 16201 and 667664, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 16201667664 in words is "sixteen billion, two hundred one million, six hundred sixty-seven thousand, six hundred sixty-four".