9379479564000 has 1920 divisors, whose sum is σ = 44864999891712. Its totient is φ = 1862457753600.

The previous prime is 9379479563999. The next prime is 9379479564001. The reversal of 9379479564000 is 4659749739.

9379479564000 is a `hidden beast` number, since 9 + 3 + 79 + 479 + 56 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9379479563999) and next prime (9379479564001).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9379479564001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 501218644 + ... + 501237356.

Almost surely, 2^{9379479564000} is an apocalyptic number.

9379479564000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9379479564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432499945856).

9379479564000 is an abundant number, since it is smaller than the sum of its proper divisors (35485520327712).

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

9379479564000 is a wasteful number, since it uses less digits than its factorization.

9379479564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18787 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 9379479564000 in words is "nine trillion, three hundred seventy-nine billion, four hundred seventy-nine million, five hundred sixty-four thousand".