7616421120 has 288 divisors, whose sum is σ = 30328381440. Its totient is φ = 1582571520.

The previous prime is 7616421101. The next prime is 7616421133. The reversal of 7616421120 is 211246167.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282801 + ... + 308559.

It is an arithmetic number, because the mean of its divisors is an integer number (105306880).

Almost surely, 2^7616421120 is an apocalyptic number.

7616421120 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 7616421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164190720).

7616421120 is an abundant number, since it is smaller than the sum of its proper divisors (22711960320).

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

7616421120 is a wasteful number, since it uses less digits than its factorization.

7616421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25801 (or 25787 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7616421120 is about 87272.1096341781. The cubic root of 7616421120 is about 1967.5101563594.

Adding to 7616421120 its reverse (211246167), we get a palindrome (7827667287).

The spelling of 7616421120 in words is "seven billion, six hundred sixteen million, four hundred twenty-one thousand, one hundred twenty".