972461961072 has 120 divisors (see below), whose sum is σ = 3115529164800. Its totient is φ = 277382252160.

The previous prime is 972461961041. The next prime is 972461961091. The reversal of 972461961072 is 270169164279.

972461961072 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 6 + 19 + 610 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201504 + ... + 1409087.

It is an arithmetic number, because the mean of its divisors is an integer number (25962743040).

Almost surely, 2^972461961072 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 972461961072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557764582400).

972461961072 is an abundant number, since it is smaller than the sum of its proper divisors (2143067203728).

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

972461961072 is a wasteful number, since it uses less digits than its factorization.

972461961072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611211 (or 1611202 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 972461961072 in words is "nine hundred seventy-two billion, four hundred sixty-one million, nine hundred sixty-one thousand, seventy-two".