4966133760 has 416 divisors, whose sum is σ = 20193108480. Its totient is φ = 1134231552.

The previous prime is 4966133749. The next prime is 4966133791. The reversal of 4966133760 is 673316694.

4966133760 is a `hidden beast` number, since 496 + 61 + 33 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870079 + ... + 3871361.

Almost surely, 2^4966133760 is an apocalyptic number.

4966133760 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 4966133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096554240).

4966133760 is an abundant number, since it is smaller than the sum of its proper divisors (15226974720).

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

4966133760 is a wasteful number, since it uses less digits than its factorization.

4966133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1300 counting only the distinct ones).

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

The square root of 4966133760 is about 70470.8007617339. The cubic root of 4966133760 is about 1706.1065001886.

The spelling of 4966133760 in words is "four billion, nine hundred sixty-six million, one hundred thirty-three thousand, seven hundred sixty".