4495377600 has 756 divisors, whose sum is σ = 19464339024. Its totient is φ = 979292160.

The previous prime is 4495377587. The next prime is 4495377613. The reversal of 4495377600 is 67735944.

4495377600 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 37 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4495377587) and next prime (4495377613).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16228662 + ... + 16228938.

Almost surely, 2^4495377600 is an apocalyptic number.

4495377600 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 4495377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732169512).

4495377600 is an abundant number, since it is smaller than the sum of its proper divisors (14968961424).

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

4495377600 is a wasteful number, since it uses less digits than its factorization.

4495377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4495377600 is about 67047.5771374328. The cubic root of 4495377600 is about 1650.3981408365.

The spelling of 4495377600 in words is "four billion, four hundred ninety-five million, three hundred seventy-seven thousand, six hundred".