972462067900 has 144 divisors (see below), whose sum is σ = 2244891317760. Its totient is φ = 364606099200.

The previous prime is 972462067897. The next prime is 972462067903. The reversal of 972462067900 is 9760264279.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (972462067897) and next prime (972462067903).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972462067903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408424710 + ... + 408427090.

It is an arithmetic number, because the mean of its divisors is an integer number (15589523040).

Almost surely, 2^972462067900 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 972462067900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122445658880).

972462067900 is an abundant number, since it is smaller than the sum of its proper divisors (1272429249860).

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

972462067900 is a wasteful number, since it uses less digits than its factorization.

972462067900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 972462067900 in words is "nine hundred seventy-two billion, four hundred sixty-two million, sixty-seven thousand, nine hundred".