1027799864640 has 672 divisors, whose sum is σ = 3688873943040. Its totient is φ = 262444105728.

The previous prime is 1027799864587. The next prime is 1027799864657. The reversal of 1027799864640 is 464689977201.

1027799864640 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 99 + 86 + 464 + 0 = 666.

1027799864640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2341229541 + ... + 2341229979.

Almost surely, 2^{1027799864640} is an apocalyptic number.

1027799864640 is a gapful number since it is divisible by the number (10) 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 1027799864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844436971520).

1027799864640 is an abundant number, since it is smaller than the sum of its proper divisors (2661074078400).

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

1027799864640 is a wasteful number, since it uses less digits than its factorization.

1027799864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1027799864640 in words is "one trillion, twenty-seven billion, seven hundred ninety-nine million, eight hundred sixty-four thousand, six hundred forty".