4961736000 has 1120 divisors, whose sum is σ = 21479377920. Its totient is φ = 1119744000.

The previous prime is 4961735993. The next prime is 4961736007. The reversal of 4961736000 is 6371694.

4961736000 is a `hidden beast` number, since 4 + 9 + 617 + 36 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4961735993) and next prime (4961736007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961736007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160055985 + ... + 160056015.

It is an arithmetic number, because the mean of its divisors is an integer number (19178016).

Almost surely, 2^4961736000 is an apocalyptic number.

4961736000 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 4961736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739688960).

4961736000 is an abundant number, since it is smaller than the sum of its proper divisors (16517641920).

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

4961736000 is a wasteful number, since it uses less digits than its factorization.

4961736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4961736000 is about 70439.5911402103. The cubic root of 4961736000 is about 1705.6027372247.

The spelling of 4961736000 in words is "four billion, nine hundred sixty-one million, seven hundred thirty-six thousand".