1468777068400 has 60 divisors (see below), whose sum is σ = 3528906966352. Its totient is φ = 587482513920.

The previous prime is 1468777068359. The next prime is 1468777068413. The reversal of 1468777068400 is 48607778641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9526324 + ... + 9679276.

Almost surely, 2^{1468777068400} is an apocalyptic number.

1468777068400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468777068400 is an abundant number, since it is smaller than the sum of its proper divisors (2060129897952).

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

1468777068400 is a wasteful number, since it uses less digits than its factorization.

1468777068400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176978 (or 176967 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 58.

The spelling of 1468777068400 in words is "one trillion, four hundred sixty-eight billion, seven hundred seventy-seven million, sixty-eight thousand, four hundred".