7611840552960 has 1792 divisors, whose sum is σ = 31983810048000. Its totient is φ = 1702727516160.

The previous prime is 7611840552947. The next prime is 7611840552989. The reversal of 7611840552960 is 692550481167.

It is a happy number.

7611840552960 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 84 + 0 + 552 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7611840552897 and 7611840552906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38250454941 + ... + 38250455139.

Almost surely, 2^{7611840552960} is an apocalyptic number.

7611840552960 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 7611840552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991905024000).

7611840552960 is an abundant number, since it is smaller than the sum of its proper divisors (24371969495040).

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

7611840552960 is an frugal number, since it uses more digits than its factorization.

7611840552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 7611840552960 in words is "seven trillion, six hundred eleven billion, eight hundred forty million, five hundred fifty-two thousand, nine hundred sixty".