4894135680 has 192 divisors, whose sum is σ = 18147354480. Its totient is φ = 1118638080.

The previous prime is 4894135657. The next prime is 4894135681. The reversal of 4894135680 is 865314984.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4894135681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68070 + ... + 120090.

Almost surely, 2^4894135680 is an apocalyptic number.

4894135680 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 4894135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073677240).

4894135680 is an abundant number, since it is smaller than the sum of its proper divisors (13253218800).

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

4894135680 is a wasteful number, since it uses less digits than its factorization.

4894135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52057 (or 52038 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4894135680 is about 69958.0994596051. The cubic root of 4894135680 is about 1697.8213937812.

The spelling of 4894135680 in words is "four billion, eight hundred ninety-four million, one hundred thirty-five thousand, six hundred eighty".