4693984314624 has 288 divisors, whose sum is σ = 15292794948480. Its totient is φ = 1408333824000.

The previous prime is 4693984314619. The next prime is 4693984314637. The reversal of 4693984314624 is 4264134893964.

4693984314624 is a `hidden beast` number, since 4 + 6 + 93 + 9 + 84 + 3 + 1 + 462 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4693984314624² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7373604 + ... + 7984860.

It is an arithmetic number, because the mean of its divisors is an integer number (53099982460).

Almost surely, 2^{4693984314624} is an apocalyptic number.

4693984314624 is a gapful number since it is divisible by the number (44) 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 4693984314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646397474240).

4693984314624 is an abundant number, since it is smaller than the sum of its proper divisors (10598810633856).

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

4693984314624 is a wasteful number, since it uses less digits than its factorization.

4693984314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611394 (or 611374 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 4693984314624 in words is "four trillion, six hundred ninety-three billion, nine hundred eighty-four million, three hundred fourteen thousand, six hundred twenty-four".