7105628400 has 120 divisors (see below), whose sum is σ = 24512649840. Its totient is φ = 1749073920.

The previous prime is 7105628399. The next prime is 7105628419. The reversal of 7105628400 is 48265017.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212145 + ... + 243344.

It is an arithmetic number, because the mean of its divisors is an integer number (204272082).

Almost surely, 2^7105628400 is an apocalyptic number.

It is an amenable number.

7105628400 is an abundant number, since it is smaller than the sum of its proper divisors (17407021440).

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

7105628400 is a wasteful number, since it uses less digits than its factorization.

7105628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455523 (or 455512 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 7105628400 is about 84294.8895248105. The cubic root of 7105628400 is about 1922.5050851489.

The spelling of 7105628400 in words is "seven billion, one hundred five million, six hundred twenty-eight thousand, four hundred".