4770662400 has 1152 divisors, whose sum is σ = 21936096000. Its totient is φ = 990904320.

The previous prime is 4770662399. The next prime is 4770662411. The reversal of 4770662400 is 42660774.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164505586 + ... + 164505614.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^4770662400 is an apocalyptic number.

4770662400 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 4770662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048000).

4770662400 is an abundant number, since it is smaller than the sum of its proper divisors (17165433600).

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

4770662400 is a wasteful number, since it uses less digits than its factorization.

4770662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4770662400 is about 69069.9819024155. The cubic root of 4770662400 is about 1683.4215980469.

The spelling of 4770662400 in words is "four billion, seven hundred seventy million, six hundred sixty-two thousand, four hundred".