4361963760 has 960 divisors, whose sum is σ = 19888727040. Its totient is φ = 829440000.

The previous prime is 4361963743. The next prime is 4361963761. The reversal of 4361963760 is 673691634.

4361963760 is a `hidden beast` number, since 4 + 3 + 6 + 1 + 9 + 637 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4361963761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43187710 + ... + 43187810.

It is an arithmetic number, because the mean of its divisors is an integer number (20717424).

Almost surely, 2^4361963760 is an apocalyptic number.

4361963760 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 4361963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944363520).

4361963760 is an abundant number, since it is smaller than the sum of its proper divisors (15526763280).

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

4361963760 is a wasteful number, since it uses less digits than its factorization.

4361963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 4361963760 is about 66045.1645466949. The cubic root of 4361963760 is about 1633.9070663417.

The spelling of 4361963760 in words is "four billion, three hundred sixty-one million, nine hundred sixty-three thousand, seven hundred sixty".