4690403615952 has 960 divisors, whose sum is σ = 15521897963520. Its totient is φ = 1312292192256.

The previous prime is 4690403615939. The next prime is 4690403615957. The reversal of 4690403615952 is 2595163040964.

4690403615952 is a `hidden beast` number, since 4 + 6 + 9 + 0 + 40 + 3 + 6 + 1 + 595 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690403615957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8331089623 + ... + 8331090185.

It is an arithmetic number, because the mean of its divisors is an integer number (16168643712).

Almost surely, 2^{4690403615952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4690403615952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760948981760).

4690403615952 is an abundant number, since it is smaller than the sum of its proper divisors (10831494347568).

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

4690403615952 is a wasteful number, since it uses less digits than its factorization.

4690403615952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 4690403615952 in words is "four trillion, six hundred ninety billion, four hundred three million, six hundred fifteen thousand, nine hundred fifty-two".