2763468674064 has 160 divisors (see below), whose sum is σ = 9071600451840. Its totient is φ = 789017822208.

The previous prime is 2763468674051. The next prime is 2763468674107. The reversal of 2763468674064 is 4604768643672.

It is a happy number.

2763468674064 is a `hidden beast` number, since 2 + 76 + 3 + 468 + 6 + 7 + 40 + 64 = 666.

It is a super-2 number, since 2×2763468674064² (a number of 26 digits) contains 22 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 = 2763468673992 and 2763468674010.

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, 4079404 + ... + 4708340.

It is an arithmetic number, because the mean of its divisors is an integer number (56697502824).

Almost surely, 2^{2763468674064} is an apocalyptic number.

2763468674064 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 2763468674064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535800225920).

2763468674064 is an abundant number, since it is smaller than the sum of its proper divisors (6308131777776).

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

2763468674064 is a wasteful number, since it uses less digits than its factorization.

2763468674064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630414 (or 630402 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 2763468674064 in words is "two trillion, seven hundred sixty-three billion, four hundred sixty-eight million, six hundred seventy-four thousand, sixty-four".