7616941920 has 672 divisors, whose sum is σ = 32523482880. Its totient is φ = 1646023680.

The previous prime is 7616941903. The next prime is 7616941931. The reversal of 7616941920 is 291496167.

7616941920 is a `hidden beast` number, since 7 + 616 + 9 + 4 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15512875 + ... + 15513365.

It is an arithmetic number, because the mean of its divisors is an integer number (48398040).

Almost surely, 2^7616941920 is an apocalyptic number.

7616941920 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 7616941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261741440).

7616941920 is an abundant number, since it is smaller than the sum of its proper divisors (24906540960).

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

7616941920 is a wasteful number, since it uses less digits than its factorization.

7616941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7616941920 is about 87275.0933542898. The cubic root of 7616941920 is about 1967.5550005156. Note that the first 3 decimals are identical.

The spelling of 7616941920 in words is "seven billion, six hundred sixteen million, nine hundred forty-one thousand, nine hundred twenty".