2768634296064 has 1458 divisors, whose sum is σ = 10458828322488. Its totient is φ = 701955072000.

The previous prime is 2768634296041. The next prime is 2768634296081. The reversal of 2768634296064 is 4606924368672.

2768634296064 is a `hidden beast` number, since 2 + 76 + 86 + 3 + 429 + 6 + 0 + 64 = 666.

It is a super-3 number, since 3×2768634296064³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2768634295992 and 2768634296010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 18335326389 + ... + 18335326539.

Almost surely, 2^{2768634296064} is an apocalyptic number.

2768634296064 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 2768634296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229414161244).

2768634296064 is an abundant number, since it is smaller than the sum of its proper divisors (7690194026424).

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

2768634296064 is a wasteful number, since it uses less digits than its factorization.

2768634296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 2768634296064 in words is "two trillion, seven hundred sixty-eight billion, six hundred thirty-four million, two hundred ninety-six thousand, sixty-four".