2666537664 has 336 divisors, whose sum is σ = 8717377536. Its totient is φ = 716083200.

The previous prime is 2666537651. The next prime is 2666537689. The reversal of 2666537664 is 4667356662.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2666537664² = 14220846227061153792, which contains 22 as substring.

Its product of digits (6531840) is a multiple of the sum of its prime factors (324).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11957457 + ... + 11957679.

It is an arithmetic number, because the mean of its divisors is an integer number (25944576).

Almost surely, 2^2666537664 is an apocalyptic number.

2666537664 is a gapful number since it is divisible by the number (24) 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 2666537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358688768).

2666537664 is an abundant number, since it is smaller than the sum of its proper divisors (6050839872).

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

2666537664 is a wasteful number, since it uses less digits than its factorization.

2666537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 51.

The square root of 2666537664 is about 51638.5288713767. The cubic root of 2666537664 is about 1386.7001869773.

The spelling of 2666537664 in words is "two billion, six hundred sixty-six million, five hundred thirty-seven thousand, six hundred sixty-four".