973262234880 has 576 divisors, whose sum is σ = 3847707360000. Its totient is φ = 231308034048.

The previous prime is 973262234821. The next prime is 973262234891. The reversal of 973262234880 is 88432262379.

973262234880 is a `hidden beast` number, since 9 + 7 + 3 + 2 + 622 + 3 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×973262234880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12991771 + ... + 13066469.

It is an arithmetic number, because the mean of its divisors is an integer number (6680047500).

Almost surely, 2^973262234880 is an apocalyptic number.

973262234880 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 973262234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923853680000).

973262234880 is an abundant number, since it is smaller than the sum of its proper divisors (2874445125120).

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

973262234880 is a wasteful number, since it uses less digits than its factorization.

973262234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74771 (or 74751 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 973262234880 in words is "nine hundred seventy-three billion, two hundred sixty-two million, two hundred thirty-four thousand, eight hundred eighty".