7620918480 has 640 divisors, whose sum is σ = 31540838400. Its totient is φ = 1654732800.

The previous prime is 7620918479. The next prime is 7620918493. The reversal of 7620918480 is 848190267.

7620918480 is a `hidden beast` number, since 7 + 620 + 9 + 18 + 4 + 8 + 0 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 33279006 + ... + 33279234.

It is an arithmetic number, because the mean of its divisors is an integer number (49282560).

Almost surely, 2^7620918480 is an apocalyptic number.

7620918480 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 7620918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770419200).

7620918480 is an abundant number, since it is smaller than the sum of its proper divisors (23919919920).

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

7620918480 is a wasteful number, since it uses less digits than its factorization.

7620918480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7620918480 is about 87297.8721390161. The cubic root of 7620918480 is about 1967.8973399750.

The spelling of 7620918480 in words is "seven billion, six hundred twenty million, nine hundred eighteen thousand, four hundred eighty".