4792459351680 has 4608 divisors, whose sum is σ = 24389888140800. Its totient is φ = 840853094400.

The previous prime is 4792459351679. The next prime is 4792459351747. The reversal of 4792459351680 is 861539542974.

4792459351680 is a `hidden beast` number, since 4 + 7 + 9 + 24 + 5 + 93 + 516 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 49406797392 + ... + 49406797488.

It is an arithmetic number, because the mean of its divisors is an integer number (5292944475).

It is a 1-persistent number, because it is pandigital, but 2⋅4792459351680 = 9584918703360 is not.

Almost surely, 2^{4792459351680} is an apocalyptic number.

4792459351680 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 4792459351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194944070400).

4792459351680 is an abundant number, since it is smaller than the sum of its proper divisors (19597428789120).

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

4792459351680 is a wasteful number, since it uses less digits than its factorization.

4792459351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 4792459351680 in words is "four trillion, seven hundred ninety-two billion, four hundred fifty-nine million, three hundred fifty-one thousand, six hundred eighty".