2693076632064 has 1440 divisors, whose sum is σ = 10187776190592. Its totient is φ = 666471628800.

The previous prime is 2693076632063. The next prime is 2693076632083. The reversal of 2693076632064 is 4602366703962.

2693076632064 is a `hidden beast` number, since 2 + 6 + 9 + 307 + 6 + 6 + 320 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2693076632064.

It is not an unprimeable number, because it can be changed into a prime (2693076632063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16521942447 + ... + 16521942609.

Almost surely, 2^{2693076632064} is an apocalyptic number.

2693076632064 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 2693076632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093888095296).

2693076632064 is an abundant number, since it is smaller than the sum of its proper divisors (7494699558528).

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

2693076632064 is a wasteful number, since it uses less digits than its factorization.

2693076632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 2693076632064 in words is "two trillion, six hundred ninety-three billion, seventy-six million, six hundred thirty-two thousand, sixty-four".