4698053680320 has 4704 divisors, whose sum is σ = 23820234117120. Its totient is φ = 857276006400.

The previous prime is 4698053680241. The next prime is 4698053680357. The reversal of 4698053680320 is 230863508964.

4698053680320 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 0 + 536 + 80 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 79628028451 + ... + 79628028509.

It is an arithmetic number, because the mean of its divisors is an integer number (5063825280).

Almost surely, 2^{4698053680320} is an apocalyptic number.

4698053680320 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 4698053680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910117058560).

4698053680320 is an abundant number, since it is smaller than the sum of its proper divisors (19122180436800).

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

4698053680320 is a wasteful number, since it uses less digits than its factorization.

4698053680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4698053680320 in words is "four trillion, six hundred ninety-eight billion, fifty-three million, six hundred eighty thousand, three hundred twenty".