7190456720 has 80 divisors (see below), whose sum is σ = 16844390640. Its totient is φ = 2854502400.

The previous prime is 7190456717. The next prime is 7190456723. The reversal of 7190456720 is 276540917.

It is an interprime number because it is at equal distance from previous prime (7190456717) and next prime (7190456723).

It can be written as a sum of positive squares in 8 ways, for example, as 244234384 + 6946222336 = 15628^2 + 83344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7190456723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8887676 + ... + 8888484.

It is an arithmetic number, because the mean of its divisors is an integer number (210554883).

Almost surely, 2^7190456720 is an apocalyptic number.

It is an amenable number.

7190456720 is an abundant number, since it is smaller than the sum of its proper divisors (9653933920).

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

7190456720 is a wasteful number, since it uses less digits than its factorization.

7190456720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 7190456720 is about 84796.5607793146. The cubic root of 7190456720 is about 1930.1252498203.

The spelling of 7190456720 in words is "seven billion, one hundred ninety million, four hundred fifty-six thousand, seven hundred twenty".