5752356480 has 512 divisors, whose sum is σ = 22722336000. Its totient is φ = 1365590016.

The previous prime is 5752356479. The next prime is 5752356499. The reversal of 5752356480 is 846532575.

5752356480 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 3 + 564 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6514119 + ... + 6515001.

Almost surely, 2^5752356480 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 5752356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361168000).

5752356480 is an abundant number, since it is smaller than the sum of its proper divisors (16969979520).

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

5752356480 is a wasteful number, since it uses less digits than its factorization.

5752356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5752356480 is about 75844.2910178479. The cubic root of 5752356480 is about 1791.7686377538.

It can be divided in two parts, 57523 and 56480, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 5752356480 in words is "five billion, seven hundred fifty-two million, three hundred fifty-six thousand, four hundred eighty".