4624664331504 has 160 divisors (see below), whose sum is σ = 13679433031680. Its totient is φ = 1318851072000.

The previous prime is 4624664331503. The next prime is 4624664331527. The reversal of 4624664331504 is 4051334664264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4624664331503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979591864 + ... + 979596584.

It is an arithmetic number, because the mean of its divisors is an integer number (85496456448).

Almost surely, 2^{4624664331504} 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 4624664331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839716515840).

4624664331504 is an abundant number, since it is smaller than the sum of its proper divisors (9054768700176).

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

4624664331504 is a wasteful number, since it uses less digits than its factorization.

4624664331504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9593 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

Adding to 4624664331504 its reverse (4051334664264), we get a palindrome (8675998995768).

The spelling of 4624664331504 in words is "four trillion, six hundred twenty-four billion, six hundred sixty-four million, three hundred thirty-one thousand, five hundred four".