7572281640 has 576 divisors, whose sum is σ = 30129926400. Its totient is φ = 1515064320.

The previous prime is 7572281621. The next prime is 7572281699. The reversal of 7572281640 is 461822757.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7572281592 and 7572281601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20632737 + ... + 20633103.

It is an arithmetic number, because the mean of its divisors is an integer number (52308900).

Almost surely, 2^7572281640 is an apocalyptic number.

7572281640 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 7572281640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064963200).

7572281640 is an abundant number, since it is smaller than the sum of its proper divisors (22557644760).

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

7572281640 is a wasteful number, since it uses less digits than its factorization.

7572281640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 7572281640 is about 87018.8579561925. The cubic root of 7572281640 is about 1963.7020168924.

The spelling of 7572281640 in words is "seven billion, five hundred seventy-two million, two hundred eighty-one thousand, six hundred forty".