482970372917760 has 1920 divisors, whose sum is σ = 2155020789841920. Its totient is φ = 97224435302400.

The previous prime is 482970372917707. The next prime is 482970372917771. The reversal of 482970372917760 is 67719273079284.

482970372917760 is a `hidden beast` number, since 4 + 8 + 29 + 7 + 0 + 372 + 9 + 177 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×482970372917760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4614652311 + ... + 4614756969.

It is an arithmetic number, because the mean of its divisors is an integer number (1122406661376).

Almost surely, 2^{482970372917760} is an apocalyptic number.

482970372917760 is a gapful number since it is divisible by the number (40) 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 482970372917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077510394920960).

482970372917760 is an abundant number, since it is smaller than the sum of its proper divisors (1672050416924160).

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

482970372917760 is a wasteful number, since it uses less digits than its factorization.

482970372917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104810 (or 104791 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 482970372917760 in words is "four hundred eighty-two trillion, nine hundred seventy billion, three hundred seventy-two million, nine hundred seventeen thousand, seven hundred sixty".