6535742400 has 630 divisors, whose sum is σ = 26376640160. Its totient is φ = 1533312000.

The previous prime is 6535742393. The next prime is 6535742401. The reversal of 6535742400 is 42475356.

6535742400 is a `hidden beast` number, since 65 + 3 + 574 + 24 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6535742401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 210830385 + ... + 210830415.

Almost surely, 2^6535742400 is an apocalyptic number.

6535742400 is a gapful number since it is divisible by the number (60) 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 6535742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188320080).

6535742400 is an abundant number, since it is smaller than the sum of its proper divisors (19840897760).

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

6535742400 is a wasteful number, since it uses less digits than its factorization.

6535742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6535742400 is about 80843.9385482919. The cubic root of 6535742400 is about 1869.6700686666.

The spelling of 6535742400 in words is "six billion, five hundred thirty-five million, seven hundred forty-two thousand, four hundred".