7652575440 has 320 divisors, whose sum is σ = 26941132800. Its totient is φ = 2021137920.

The previous prime is 7652575429. The next prime is 7652575531. The reversal of 7652575440 is 445752567.

7652575440 is a `hidden beast` number, since 7 + 6 + 52 + 57 + 544 + 0 = 666.

It is a Cunningham number, because it is equal to 87479²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33417246 + ... + 33417474.

It is an arithmetic number, because the mean of its divisors is an integer number (84191040).

Almost surely, 2^7652575440 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 7652575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470566400).

7652575440 is an abundant number, since it is smaller than the sum of its proper divisors (19288557360).

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

7652575440 is a wasteful number, since it uses less digits than its factorization.

7652575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 7652575440 is about 87478.9999942843. Note that the first 5 decimals coincide. The cubic root of 7652575440 is about 1970.6184286686.

The spelling of 7652575440 in words is "seven billion, six hundred fifty-two million, five hundred seventy-five thousand, four hundred forty".