979381497600 has 2160 divisors, whose sum is σ = 4173325390080. Its totient is φ = 224501760000.

The previous prime is 979381497583. The next prime is 979381497623. The reversal of 979381497600 is 6794183979.

979381497600 is a `hidden beast` number, since 9 + 7 + 9 + 3 + 8 + 14 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 13794105565 + ... + 13794105635.

It is an arithmetic number, because the mean of its divisors is an integer number (1932095088).

Almost surely, 2^979381497600 is an apocalyptic number.

979381497600 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 979381497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086662695040).

979381497600 is an abundant number, since it is smaller than the sum of its proper divisors (3193943892480).

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

979381497600 is a wasteful number, since it uses less digits than its factorization.

979381497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 979381497600 in words is "nine hundred seventy-nine billion, three hundred eighty-one million, four hundred ninety-seven thousand, six hundred".