2664692121600 has 1428 divisors, whose sum is σ = 10445417085936. Its totient is φ = 672682475520.

The previous prime is 2664692121599. The next prime is 2664692121727. The reversal of 2664692121600 is 61212964662.

2664692121600 is a `hidden beast` number, since 2 + 6 + 6 + 469 + 2 + 121 + 60 + 0 = 666.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27471052752 + ... + 27471052848.

Almost surely, 2^{2664692121600} is an apocalyptic number.

2664692121600 is a gapful number since it is divisible by the number (20) 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 2664692121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222708542968).

2664692121600 is an abundant number, since it is smaller than the sum of its proper divisors (7780724964336).

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

2664692121600 is an frugal number, since it uses more digits than its factorization.

2664692121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2664692121600 in words is "two trillion, six hundred sixty-four billion, six hundred ninety-two million, one hundred twenty-one thousand, six hundred".