7982469000 has 960 divisors, whose sum is σ = 33378808320. Its totient is φ = 1762560000.

The previous prime is 7982468971. The next prime is 7982469023. The reversal of 7982469000 is 9642897.

It is a happy number.

It is a super-2 number, since 2×7982469000² (a number of 21 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 257498985 + ... + 257499015.

It is an arithmetic number, because the mean of its divisors is an integer number (34769592).

Almost surely, 2^7982469000 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 7982469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16689404160).

7982469000 is an abundant number, since it is smaller than the sum of its proper divisors (25396339320).

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

7982469000 is a wasteful number, since it uses less digits than its factorization.

7982469000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7982469000 is about 89344.6640824174. The cubic root of 7982469000 is about 1998.5380148935.

The spelling of 7982469000 in words is "seven billion, nine hundred eighty-two million, four hundred sixty-nine thousand".