5764430465280 has 1152 divisors, whose sum is σ = 22378954752000. Its totient is φ = 1399497523200.

The previous prime is 5764430465243. The next prime is 5764430465347. The reversal of 5764430465280 is 825640344675.

5764430465280 is a `hidden beast` number, since 5 + 7 + 6 + 44 + 30 + 46 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5008192705 + ... + 5008193855.

It is an arithmetic number, because the mean of its divisors is an integer number (19426176000).

Almost surely, 2^{5764430465280} 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 5764430465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189477376000).

5764430465280 is an abundant number, since it is smaller than the sum of its proper divisors (16614524286720).

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

5764430465280 is a wasteful number, since it uses less digits than its factorization.

5764430465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 5764430465280 in words is "five trillion, seven hundred sixty-four billion, four hundred thirty million, four hundred sixty-five thousand, two hundred eighty".