2664756242064 has 160 divisors (see below), whose sum is σ = 8761001760000. Its totient is φ = 759662862336.

The previous prime is 2664756242053. The next prime is 2664756242107. The reversal of 2664756242064 is 4602426574662.

2664756242064 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 7 + 5 + 624 + 2 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2664756242064.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376482 + ... + 2339070.

It is an arithmetic number, because the mean of its divisors is an integer number (54756261000).

Almost surely, 2^{2664756242064} is an apocalyptic number.

2664756242064 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 2664756242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380500880000).

2664756242064 is an abundant number, since it is smaller than the sum of its proper divisors (6096245517936).

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

2664756242064 is a wasteful number, since it uses less digits than its factorization.

2664756242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963062 (or 1963050 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 2664756242064 in words is "two trillion, six hundred sixty-four billion, seven hundred fifty-six million, two hundred forty-two thousand, sixty-four".