4766966400 has 192 divisors, whose sum is σ = 17944476480. Its totient is φ = 1089576960.

The previous prime is 4766966389. The next prime is 4766966429. The reversal of 4766966400 is 46696674.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4766966400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31732 + ... + 102668.

It is an arithmetic number, because the mean of its divisors is an integer number (93460815).

Almost surely, 2^4766966400 is an apocalyptic number.

4766966400 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 4766966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972238240).

4766966400 is an abundant number, since it is smaller than the sum of its proper divisors (13177510080).

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

4766966400 is a wasteful number, since it uses less digits than its factorization.

4766966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70971 (or 70954 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 4766966400 is about 69043.2212458254. The cubic root of 4766966400 is about 1682.9867504179.

The spelling of 4766966400 in words is "four billion, seven hundred sixty-six million, nine hundred sixty-six thousand, four hundred".