7625318400 has 672 divisors, whose sum is σ = 32178833280. Its totient is φ = 1734082560.

The previous prime is 7625318333. The next prime is 7625318423. The reversal of 7625318400 is 48135267.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38707102 + ... + 38707298.

Almost surely, 2^7625318400 is an apocalyptic number.

7625318400 is a gapful number since it is divisible by the number (70) 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 7625318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089416640).

7625318400 is an abundant number, since it is smaller than the sum of its proper divisors (24553514880).

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

7625318400 is a wasteful number, since it uses less digits than its factorization.

7625318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 214 counting only the distinct ones).

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

The square root of 7625318400 is about 87323.0691169292. The cubic root of 7625318400 is about 1968.2759874693.

The spelling of 7625318400 in words is "seven billion, six hundred twenty-five million, three hundred eighteen thousand, four hundred".