7625138400 has 432 divisors, whose sum is σ = 30028078080. Its totient is φ = 1804723200.

The previous prime is 7625138393. The next prime is 7625138407. The reversal of 7625138400 is 48315267.

7625138400 is a `hidden beast` number, since 7 + 62 + 513 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7625138393) and next prime (7625138407).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7625138407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3404481 + ... + 3406719.

It is an arithmetic number, because the mean of its divisors is an integer number (69509440).

Almost surely, 2^7625138400 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 7625138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014039040).

7625138400 is an abundant number, since it is smaller than the sum of its proper divisors (22402939680).

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

7625138400 is a wasteful number, since it uses less digits than its factorization.

7625138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7625138400 is about 87322.0384553636. The cubic root of 7625138400 is about 1968.2604999208.

The spelling of 7625138400 in words is "seven billion, six hundred twenty-five million, one hundred thirty-eight thousand, four hundred".