7979466000 has 480 divisors, whose sum is σ = 29329372800. Its totient is φ = 1862784000.

The previous prime is 7979465957. The next prime is 7979466023. The reversal of 7979466000 is 6649797.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 21053811 + ... + 21054189.

It is an arithmetic number, because the mean of its divisors is an integer number (61102860).

Almost surely, 2^7979466000 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 7979466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14664686400).

7979466000 is an abundant number, since it is smaller than the sum of its proper divisors (21349906800).

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

7979466000 is a wasteful number, since it uses less digits than its factorization.

7979466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 7979466000 is about 89327.8567973060. The cubic root of 7979466000 is about 1998.2873671964.

The spelling of 7979466000 in words is "seven billion, nine hundred seventy-nine million, four hundred sixty-six thousand".