4895735040 has 720 divisors, whose sum is σ = 20610878400. Its totient is φ = 1100058624.

The previous prime is 4895735017. The next prime is 4895735063. The reversal of 4895735040 is 405375984.

It is an interprime number because it is at equal distance from previous prime (4895735017) and next prime (4895735063).

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 82978531 + ... + 82978589.

It is an arithmetic number, because the mean of its divisors is an integer number (28626220).

Almost surely, 2^4895735040 is an apocalyptic number.

4895735040 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 4895735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305439200).

4895735040 is an abundant number, since it is smaller than the sum of its proper divisors (15715143360).

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

4895735040 is an frugal number, since it uses more digits than its factorization.

4895735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4895735040 is about 69969.5293681471. The cubic root of 4895735040 is about 1698.0063179477.

The spelling of 4895735040 in words is "four billion, eight hundred ninety-five million, seven hundred thirty-five thousand, forty".