536278046400 has 756 divisors, whose sum is σ = 2034921347472. Its totient is φ = 133696696320.

The previous prime is 536278046371. The next prime is 536278046411. The reversal of 536278046400 is 4640872635.

536278046400 is a `hidden beast` number, since 53 + 62 + 7 + 80 + 464 + 0 + 0 = 666.

536278046400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 731620434 + ... + 731621166.

Almost surely, 2^536278046400 is an apocalyptic number.

536278046400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536278046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017460673736).

536278046400 is an abundant number, since it is smaller than the sum of its proper divisors (1498643301072).

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

536278046400 is a wasteful number, since it uses less digits than its factorization.

536278046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 536278046400 in words is "five hundred thirty-six billion, two hundred seventy-eight million, forty-six thousand, four hundred".