4397917680 has 800 divisors, whose sum is σ = 18103466304. Its totient is φ = 979402752.

The previous prime is 4397917673. The next prime is 4397917691. The reversal of 4397917680 is 867197934.

It is a happy number.

4397917680 is a `hidden beast` number, since 4 + 397 + 9 + 176 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 52986919 + ... + 52987001.

Almost surely, 2^4397917680 is an apocalyptic number.

4397917680 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 4397917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051733152).

4397917680 is an abundant number, since it is smaller than the sum of its proper divisors (13705548624).

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

4397917680 is a wasteful number, since it uses less digits than its factorization.

4397917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 4397917680 is about 66316.7978720324. The cubic root of 4397917680 is about 1638.3840020684.

The spelling of 4397917680 in words is "four billion, three hundred ninety-seven million, nine hundred seventeen thousand, six hundred eighty".