7618073820 has 96 divisors (see below), whose sum is σ = 24539483136. Its totient is φ = 1729728000.

The previous prime is 7618073803. The next prime is 7618073831. The reversal of 7618073820 is 283708167.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3360 + ... + 123480.

It is an arithmetic number, because the mean of its divisors is an integer number (255619616).

Almost surely, 2^7618073820 is an apocalyptic number.

7618073820 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 7618073820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12269741568).

7618073820 is an abundant number, since it is smaller than the sum of its proper divisors (16921409316).

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

7618073820 is a wasteful number, since it uses less digits than its factorization.

7618073820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120291 (or 120289 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 7618073820 is about 87281.5777813394. The cubic root of 7618073820 is about 1967.6524571774.

The spelling of 7618073820 in words is "seven billion, six hundred eighteen million, seventy-three thousand, eight hundred twenty".