7205552640 has 800 divisors, whose sum is σ = 30444676416. Its totient is φ = 1612431360.

The previous prime is 7205552639. The next prime is 7205552681. The reversal of 7205552640 is 462555027.

7205552640 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 5 + 5 + 2 + 640 = 666.

It is a super-3 number, since 3×7205552640³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7205552595 and 7205552604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554273274 + ... + 554273286.

Almost surely, 2^7205552640 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 7205552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222338208).

7205552640 is an abundant number, since it is smaller than the sum of its proper divisors (23239123776).

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

7205552640 is an frugal number, since it uses more digits than its factorization.

7205552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 7205552640 is about 84885.5266815256. The cubic root of 7205552640 is about 1931.4750319361.

The spelling of 7205552640 in words is "seven billion, two hundred five million, five hundred fifty-two thousand, six hundred forty".