1790084427264 has 1600 divisors, whose sum is σ = 6882730905600. Its totient is φ = 452734894080.

The previous prime is 1790084427253. The next prime is 1790084427311. The reversal of 1790084427264 is 4627244800971.

1790084427264 is a `hidden beast` number, since 1 + 79 + 0 + 0 + 8 + 442 + 72 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1790084427264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57744658929 + ... + 57744658959.

It is an arithmetic number, because the mean of its divisors is an integer number (4301706816).

Almost surely, 2^{1790084427264} is an apocalyptic number.

1790084427264 is a gapful number since it is divisible by the number (14) 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 1790084427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441365452800).

1790084427264 is an abundant number, since it is smaller than the sum of its proper divisors (5092646478336).

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

1790084427264 is an frugal number, since it uses more digits than its factorization.

1790084427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1790084427264 in words is "one trillion, seven hundred ninety billion, eighty-four million, four hundred twenty-seven thousand, two hundred sixty-four".