4965217920 has 768 divisors, whose sum is σ = 20419257600. Its totient is φ = 1131356160.

The previous prime is 4965217913. The next prime is 4965217967. The reversal of 4965217920 is 297125694.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 160168305 + ... + 160168335.

It is an arithmetic number, because the mean of its divisors is an integer number (26587575).

Almost surely, 2^4965217920 is an apocalyptic number.

4965217920 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 4965217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209628800).

4965217920 is an abundant number, since it is smaller than the sum of its proper divisors (15454039680).

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

4965217920 is a wasteful number, since it uses less digits than its factorization.

4965217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4965217920 is about 70464.3024516670. The cubic root of 4965217920 is about 1706.0016153349.

The spelling of 4965217920 in words is "four billion, nine hundred sixty-five million, two hundred seventeen thousand, nine hundred twenty".