4536246624 has 288 divisors, whose sum is σ = 15007991040. Its totient is φ = 1174358016.

The previous prime is 4536246619. The next prime is 4536246641. The reversal of 4536246624 is 4266426354.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6700174 + ... + 6700850.

It is an arithmetic number, because the mean of its divisors is an integer number (52111080).

Almost surely, 2^4536246624 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 4536246624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503995520).

4536246624 is an abundant number, since it is smaller than the sum of its proper divisors (10471744416).

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

4536246624 is a wasteful number, since it uses less digits than its factorization.

4536246624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its digits is 829440, while the sum is 42.

The square root of 4536246624 is about 67351.6638547260. The cubic root of 4536246624 is about 1655.3845060308.

The spelling of 4536246624 in words is "four billion, five hundred thirty-six million, two hundred forty-six thousand, six hundred twenty-four".