1077072633000 has 1280 divisors, whose sum is σ = 4733919590400. Its totient is φ = 222343833600.

The previous prime is 1077072632959. The next prime is 1077072633073. The reversal of 1077072633000 is 3362707701.

1077072633000 is a `hidden beast` number, since 10 + 7 + 7 + 0 + 7 + 2 + 633 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 346435446 + ... + 346438554.

It is an arithmetic number, because the mean of its divisors is an integer number (3698374680).

Almost surely, 2^{1077072633000} is an apocalyptic number.

1077072633000 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 1077072633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366959795200).

1077072633000 is an abundant number, since it is smaller than the sum of its proper divisors (3656846957400).

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

1077072633000 is a wasteful number, since it uses less digits than its factorization.

1077072633000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 1077072633000 in words is "one trillion, seventy-seven billion, seventy-two million, six hundred thirty-three thousand".