535648334400 has 945 divisors, whose sum is σ = 2097591304809. Its totient is φ = 134056995840.

The previous prime is 535648334383. The next prime is 535648334449. The reversal of 535648334400 is 4433846535.

The square root of 535648334400 is 731880.

It is a perfect power (a square), and thus also a powerful number.

535648334400 is a `hidden beast` number, since 5 + 3 + 564 + 83 + 3 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192833400384 + 342814934016 = 439128^2 + 585504^2 .

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 134 ways as a sum of consecutive naturals, for example, 5006059147 + ... + 5006059253.

Almost surely, 2^535648334400 is an apocalyptic number.

535648334400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

535648334400 is the 731880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535648334400

535648334400 is an abundant number, since it is smaller than the sum of its proper divisors (1561942970409).

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

535648334400 is a wasteful number, since it uses less digits than its factorization.

535648334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 535648334400 in words is "five hundred thirty-five billion, six hundred forty-eight million, three hundred thirty-four thousand, four hundred".