4661763840 has 180 divisors, whose sum is σ = 16681014504. Its totient is φ = 1243109376.

The previous prime is 4661763839. The next prime is 4661763871. The reversal of 4661763840 is 483671664.

It is a happy number.

4661763840 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 7 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 81199 + ... + 126161.

Almost surely, 2^4661763840 is an apocalyptic number.

4661763840 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 4661763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340507252).

4661763840 is an abundant number, since it is smaller than the sum of its proper divisors (12019250664).

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

4661763840 is an equidigital number, since it uses as much as digits as its factorization.

4661763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44996 (or 44973 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4661763840 is about 68277.1106594296. The cubic root of 4661763840 is about 1670.5138844273.

The spelling of 4661763840 in words is "four billion, six hundred sixty-one million, seven hundred sixty-three thousand, eight hundred forty".