5762001342240 has 2304 divisors, whose sum is σ = 25049017663488. Its totient is φ = 1231718400000.

The previous prime is 5762001342197. The next prime is 5762001342269. The reversal of 5762001342240 is 422431002675.

5762001342240 is a `hidden beast` number, since 5 + 7 + 620 + 0 + 1 + 3 + 4 + 2 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5762001342195 and 5762001342204.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17407858875 + ... + 17407859205.

It is an arithmetic number, because the mean of its divisors is an integer number (10871969472).

Almost surely, 2^{5762001342240} 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 5762001342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524508831744).

5762001342240 is an abundant number, since it is smaller than the sum of its proper divisors (19287016321248).

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

5762001342240 is a wasteful number, since it uses less digits than its factorization.

5762001342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 5762001342240 in words is "five trillion, seven hundred sixty-two billion, one million, three hundred forty-two thousand, two hundred forty".