7611257220 has 288 divisors, whose sum is σ = 25598716416. Its totient is φ = 1683763200.

The previous prime is 7611257201. The next prime is 7611257233. The reversal of 7611257220 is 227521167.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28085685 + ... + 28085955.

It is an arithmetic number, because the mean of its divisors is an integer number (88884432).

Almost surely, 2^7611257220 is an apocalyptic number.

7611257220 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 7611257220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799358208).

7611257220 is an abundant number, since it is smaller than the sum of its proper divisors (17987459196).

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

7611257220 is a wasteful number, since it uses less digits than its factorization.

7611257220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 7611257220 is about 87242.5195647168. The cubic root of 7611257220 is about 1967.0654014213.

Adding to 7611257220 its reverse (227521167), we get a palindrome (7838778387).

The spelling of 7611257220 in words is "seven billion, six hundred eleven million, two hundred fifty-seven thousand, two hundred twenty".