7655416920 has 320 divisors, whose sum is σ = 27825256800. Its totient is φ = 1881169920.

The previous prime is 7655416891. The next prime is 7655416921. The reversal of 7655416920 is 296145567.

7655416920 is a `hidden beast` number, since 7 + 6 + 554 + 1 + 6 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7655416921) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2276040 + ... + 2279400.

Almost surely, 2^7655416920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7655416920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912628400).

7655416920 is an abundant number, since it is smaller than the sum of its proper divisors (20169839880).

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

7655416920 is a wasteful number, since it uses less digits than its factorization.

7655416920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 7655416920 is about 87495.2394133532. The cubic root of 7655416920 is about 1970.8623021198.

The spelling of 7655416920 in words is "seven billion, six hundred fifty-five million, four hundred sixteen thousand, nine hundred twenty".