536756774400 has 1080 divisors, whose sum is σ = 2413475496432. Its totient is φ = 111513600000.

The previous prime is 536756774353. The next prime is 536756774461. The reversal of 536756774400 is 4477657635.

It is a happy number.

536756774400 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 567 + 74 + 4 + 0 + 0 = 666.

It is a congruent number.

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, 97571650 + ... + 97577150.

Almost surely, 2^536756774400 is an apocalyptic number.

536756774400 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 536756774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206737748216).

536756774400 is an abundant number, since it is smaller than the sum of its proper divisors (1876718722032).

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

536756774400 is a wasteful number, since it uses less digits than its factorization.

536756774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 536756774400 in words is "five hundred thirty-six billion, seven hundred fifty-six million, seven hundred seventy-four thousand, four hundred".