920484742320 has 1080 divisors, whose sum is σ = 3721781634480. Its totient is φ = 203613696000.

The previous prime is 920484742271. The next prime is 920484742343. The reversal of 920484742320 is 23247484029.

It is a happy number.

920484742320 is a `hidden beast` number, since 9 + 204 + 84 + 7 + 42 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1487050971 + ... + 1487051589.

It is an arithmetic number, because the mean of its divisors is an integer number (3446094106).

Almost surely, 2^920484742320 is an apocalyptic number.

920484742320 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 920484742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860890817240).

920484742320 is an abundant number, since it is smaller than the sum of its proper divisors (2801296892160).

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

920484742320 is a wasteful number, since it uses less digits than its factorization.

920484742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 920484742320 in words is "nine hundred twenty billion, four hundred eighty-four million, seven hundred forty-two thousand, three hundred twenty".