4538695680 has 476 divisors, whose sum is σ = 17191272360. Its totient is φ = 1146617856.

The previous prime is 4538695657. The next prime is 4538695739. The reversal of 4538695680 is 865968354.

It is a happy number.

4538695680 is a `hidden beast` number, since 45 + 38 + 6 + 9 + 568 + 0 = 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 27 ways as a sum of consecutive naturals, for example, 238878711 + ... + 238878729.

Almost surely, 2^4538695680 is an apocalyptic number.

4538695680 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 4538695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595636180).

4538695680 is an abundant number, since it is smaller than the sum of its proper divisors (12652576680).

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

4538695680 is an frugal number, since it uses more digits than its factorization.

4538695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 4538695680 is about 67369.8425113196. The cubic root of 4538695680 is about 1655.6823587361.

The spelling of 4538695680 in words is "four billion, five hundred thirty-eight million, six hundred ninety-five thousand, six hundred eighty".