7825564980 has 96 divisors (see below), whose sum is σ = 25131617280. Its totient is φ = 2019496320.

The previous prime is 7825564961. The next prime is 7825564987. The reversal of 7825564980 is 894655287.

7825564980 is a `hidden beast` number, since 7 + 8 + 2 + 556 + 4 + 9 + 80 = 666.

It is a super-2 number, since 2×7825564980² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825564987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216999 + ... + 250478.

It is an arithmetic number, because the mean of its divisors is an integer number (261787680).

Almost surely, 2^7825564980 is an apocalyptic number.

It is an amenable number.

7825564980 is an abundant number, since it is smaller than the sum of its proper divisors (17306052300).

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

7825564980 is a wasteful number, since it uses less digits than its factorization.

7825564980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467526 (or 467518 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 7825564980 is about 88462.2234628997. The cubic root of 7825564980 is about 1985.3567983092.

The spelling of 7825564980 in words is "seven billion, eight hundred twenty-five million, five hundred sixty-four thousand, nine hundred eighty".