972773867520 has 1680 divisors, whose sum is σ = 4332101477760. Its totient is φ = 204097978368.

The previous prime is 972773867479. The next prime is 972773867521. The reversal of 972773867520 is 25768377279.

972773867520 is a `hidden beast` number, since 9 + 7 + 2 + 77 + 38 + 6 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (972773867521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5434490791 + ... + 5434490969.

It is an arithmetic number, because the mean of its divisors is an integer number (2578631832).

Almost surely, 2^972773867520 is an apocalyptic number.

972773867520 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 972773867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166050738880).

972773867520 is an abundant number, since it is smaller than the sum of its proper divisors (3359327610240).

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

972773867520 is an equidigital number, since it uses as much as digits as its factorization.

972773867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 972773867520 in words is "nine hundred seventy-two billion, seven hundred seventy-three million, eight hundred sixty-seven thousand, five hundred twenty".