920979206784 has 2304 divisors, whose sum is σ = 3754478407680. Its totient is φ = 222103461888.

The previous prime is 920979206779. The next prime is 920979206843. The reversal of 920979206784 is 487602979029.

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

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 287 ways as a sum of consecutive naturals, for example, 19595302249 + ... + 19595302295.

It is an arithmetic number, because the mean of its divisors is an integer number (1629547920).

Almost surely, 2^920979206784 is an apocalyptic number.

920979206784 is a gapful number since it is divisible by the number (94) 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 920979206784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877239203840).

920979206784 is an abundant number, since it is smaller than the sum of its proper divisors (2833499200896).

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

920979206784 is a wasteful number, since it uses less digits than its factorization.

920979206784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 920979206784 in words is "nine hundred twenty billion, nine hundred seventy-nine million, two hundred six thousand, seven hundred eighty-four".