2787794620416 has 1040 divisors, whose sum is σ = 9593780044464. Its totient is φ = 799065243648.

The previous prime is 2787794620397. The next prime is 2787794620469. The reversal of 2787794620416 is 6140264977872.

2787794620416 is a `hidden beast` number, since 2 + 7 + 8 + 77 + 94 + 62 + 0 + 416 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53084160000 + 2734710460416 = 230400^2 + 1653696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14151241630 + ... + 14151241826.

Almost surely, 2^{2787794620416} is an apocalyptic number.

2787794620416 is a gapful number since it is divisible by the number (26) 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 2787794620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796890022232).

2787794620416 is an abundant number, since it is smaller than the sum of its proper divisors (6805985424048).

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

2787794620416 is a wasteful number, since it uses less digits than its factorization.

2787794620416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 2787794620416 in words is "two trillion, seven hundred eighty-seven billion, seven hundred ninety-four million, six hundred twenty thousand, four hundred sixteen".