7645285670400 has 1440 divisors, whose sum is σ = 33683577827328. Its totient is φ = 1617474355200.

The previous prime is 7645285670389. The next prime is 7645285670417. The reversal of 7645285670400 is 40765825467.

It is a happy number.

7645285670400 is a `hidden beast` number, since 7 + 6 + 4 + 528 + 5 + 6 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 574956552 + ... + 574969848.

Almost surely, 2^{7645285670400} is an apocalyptic number.

7645285670400 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 7645285670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841788913664).

7645285670400 is an abundant number, since it is smaller than the sum of its proper divisors (26038292156928).

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

7645285670400 is a wasteful number, since it uses less digits than its factorization.

7645285670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13368 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 7645285670400 in words is "seven trillion, six hundred forty-five billion, two hundred eighty-five million, six hundred seventy thousand, four hundred".