7543490400 has 216 divisors, whose sum is σ = 27459117504. Its totient is φ = 1946649600.

The previous prime is 7543490363. The next prime is 7543490401. The reversal of 7543490400 is 40943457.

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 (7543490401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206302 + ... + 240098.

It is an arithmetic number, because the mean of its divisors is an integer number (127125544).

Almost surely, 2^7543490400 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 7543490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729558752).

7543490400 is an abundant number, since it is smaller than the sum of its proper divisors (19915627104).

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

7543490400 is a wasteful number, since it uses less digits than its factorization.

7543490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33854 (or 33838 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7543490400 is about 86853.2693685160. The cubic root of 7543490400 is about 1961.2100677111.

The spelling of 7543490400 in words is "seven billion, five hundred forty-three million, four hundred ninety thousand, four hundred".