4766486400 has 576 divisors, whose sum is σ = 18990972000. Its totient is φ = 1130250240.

The previous prime is 4766486353. The next prime is 4766486419. The reversal of 4766486400 is 46846674.

4766486400 is a `hidden beast` number, since 476 + 64 + 86 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 10857381 + ... + 10857819.

Almost surely, 2^4766486400 is an apocalyptic number.

4766486400 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 4766486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495486000).

4766486400 is an abundant number, since it is smaller than the sum of its proper divisors (14224485600).

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

4766486400 is a wasteful number, since it uses less digits than its factorization.

4766486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4766486400 is about 69039.7450748480. The cubic root of 4766486400 is about 1682.9302602109.

The spelling of 4766486400 in words is "four billion, seven hundred sixty-six million, four hundred eighty-six thousand, four hundred".