7535138400 has 432 divisors, whose sum is σ = 27946586304. Its totient is φ = 1980910080.

The previous prime is 7535138381. The next prime is 7535138407. The reversal of 7535138400 is 48315357.

It is a tau number, because it is divible by the number of its divisors (432).

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 (7535138407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16134967 + ... + 16135433.

It is an arithmetic number, because the mean of its divisors is an integer number (64691172).

Almost surely, 2^7535138400 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 7535138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973293152).

7535138400 is an abundant number, since it is smaller than the sum of its proper divisors (20411447904).

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

7535138400 is a wasteful number, since it uses less digits than its factorization.

7535138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7535138400 is about 86805.1749609434. The cubic root of 7535138400 is about 1960.4859963794.

The spelling of 7535138400 in words is "seven billion, five hundred thirty-five million, one hundred thirty-eight thousand, four hundred".