4638876480 has 560 divisors, whose sum is σ = 19396350336. Its totient is φ = 1030164480.

The previous prime is 4638876461. The next prime is 4638876481. The reversal of 4638876480 is 846788364.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638876481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6712935 + ... + 6713625.

Almost surely, 2^4638876480 is an apocalyptic number.

4638876480 is a gapful number since it is divisible by the number (40) 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 4638876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9698175168).

4638876480 is an abundant number, since it is smaller than the sum of its proper divisors (14757473856).

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

4638876480 is a wasteful number, since it uses less digits than its factorization.

4638876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4638876480 is about 68109.2980436592. The cubic root of 4638876480 is about 1667.7755507731.

The spelling of 4638876480 in words is "four billion, six hundred thirty-eight million, eight hundred seventy-six thousand, four hundred eighty".