7008398964 has 192 divisors, whose sum is σ = 21166548480. Its totient is φ = 1988665344.

The previous prime is 7008398959. The next prime is 7008399029. The reversal of 7008398964 is 4698938007.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7008398964.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 11818252 + ... + 11818844.

It is an arithmetic number, because the mean of its divisors is an integer number (110242440).

Almost surely, 2^7008398964 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 7008398964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10583274240).

7008398964 is an abundant number, since it is smaller than the sum of its proper divisors (14158149516).

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

7008398964 is a wasteful number, since it uses less digits than its factorization.

7008398964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7008398964 is about 83716.1810165753. The cubic root of 7008398964 is about 1913.6959550845.

The spelling of 7008398964 in words is "seven billion, eight million, three hundred ninety-eight thousand, nine hundred sixty-four".