536362813440 has 1152 divisors, whose sum is σ = 2077749273600. Its totient is φ = 127401984000.

The previous prime is 536362813439. The next prime is 536362813457. The reversal of 536362813440 is 44318263635.

536362813440 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 628 + 13 + 4 + 4 + 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2225571720 + ... + 2225571960.

It is an arithmetic number, because the mean of its divisors is an integer number (1803601800).

Almost surely, 2^536362813440 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 536362813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038874636800).

536362813440 is an abundant number, since it is smaller than the sum of its proper divisors (1541386460160).

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

536362813440 is a wasteful number, since it uses less digits than its factorization.

536362813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 536362813440 in words is "five hundred thirty-six billion, three hundred sixty-two million, eight hundred thirteen thousand, four hundred forty".