4620162624 has 448 divisors, whose sum is σ = 16685678592. Its totient is φ = 1091174400.

The previous prime is 4620162601. The next prime is 4620162643. The reversal of 4620162624 is 4262610264.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7790872 + ... + 7791464.

Almost surely, 2^4620162624 is an apocalyptic number.

4620162624 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 4620162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342839296).

4620162624 is an abundant number, since it is smaller than the sum of its proper divisors (12065515968).

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

4620162624 is a wasteful number, since it uses less digits than its factorization.

4620162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4620162624 is about 67971.7781435796. The cubic root of 4620162624 is about 1665.5298507572.

Adding to 4620162624 its reverse (4262610264), we get a palindrome (8882772888).

The spelling of 4620162624 in words is "four billion, six hundred twenty million, one hundred sixty-two thousand, six hundred twenty-four".