5764266793152 has 336 divisors, whose sum is σ = 19032201264960. Its totient is φ = 1633895940096.

The previous prime is 5764266793151. The next prime is 5764266793171. The reversal of 5764266793152 is 2513976624675.

5764266793152 is a `hidden beast` number, since 5 + 76 + 426 + 6 + 7 + 93 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5764266793152.

It is not an unprimeable number, because it can be changed into a prime (5764266793151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1633397724 + ... + 1633401252.

Almost surely, 2^{5764266793152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5764266793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516100632480).

5764266793152 is an abundant number, since it is smaller than the sum of its proper divisors (13267934471808).

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

5764266793152 is a wasteful number, since it uses less digits than its factorization.

5764266793152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6635 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 5764266793152 in words is "five trillion, seven hundred sixty-four billion, two hundred sixty-six million, seven hundred ninety-three thousand, one hundred fifty-two".