7611463020 has 144 divisors (see below), whose sum is σ = 25038060768. Its totient is φ = 1722470400.

The previous prime is 7611463009. The next prime is 7611463033. The reversal of 7611463020 is 203641167.

It is a super-3 number, since 3×7611463020³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284124 + ... + 309756.

It is an arithmetic number, because the mean of its divisors is an integer number (173875422).

Almost surely, 2^7611463020 is an apocalyptic number.

7611463020 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 7611463020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519030384).

7611463020 is an abundant number, since it is smaller than the sum of its proper divisors (17426597748).

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

7611463020 is a wasteful number, since it uses less digits than its factorization.

7611463020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25760 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 7611463020 is about 87243.6990274942. The cubic root of 7611463020 is about 1967.0831303544.

The spelling of 7611463020 in words is "seven billion, six hundred eleven million, four hundred sixty-three thousand, twenty".