4364979840 has 768 divisors, whose sum is σ = 17964011520. Its totient is φ = 1003290624.

The previous prime is 4364979821. The next prime is 4364979889. The reversal of 4364979840 is 489794634.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34369857 + ... + 34369983.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2^4364979840 is an apocalyptic number.

4364979840 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 4364979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

4364979840 is an abundant number, since it is smaller than the sum of its proper divisors (13599031680).

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

4364979840 is a wasteful number, since it uses less digits than its factorization.

4364979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4364979840 is about 66067.9940667189. The cubic root of 4364979840 is about 1634.2835679444.

The spelling of 4364979840 in words is "four billion, three hundred sixty-four million, nine hundred seventy-nine thousand, eight hundred forty".