1077768407964 has 48 divisors (see below), whose sum is σ = 2521766822400. Its totient is φ = 358260126336.

The previous prime is 1077768407957. The next prime is 1077768408019. The reversal of 1077768407964 is 4697048677701.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1077768407895 and 1077768407904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54097597 + ... + 54117515.

It is an arithmetic number, because the mean of its divisors is an integer number (52536808800).

Almost surely, 2^{1077768407964} is an apocalyptic number.

It is an amenable number.

1077768407964 is an abundant number, since it is smaller than the sum of its proper divisors (1443998414436).

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

1077768407964 is a wasteful number, since it uses less digits than its factorization.

1077768407964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32202 (or 32200 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 66.

The spelling of 1077768407964 in words is "one trillion, seventy-seven billion, seven hundred sixty-eight million, four hundred seven thousand, nine hundred sixty-four".