4696646400 has 324 divisors, whose sum is σ = 17056194792. Its totient is φ = 1232732160.

The previous prime is 4696646371. The next prime is 4696646401. The reversal of 4696646400 is 46466964.

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

It is not an unprimeable number, because it can be changed into a prime (4696646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3858592 + ... + 3859808.

Almost surely, 2^4696646400 is an apocalyptic number.

4696646400 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 4696646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528097396).

4696646400 is an abundant number, since it is smaller than the sum of its proper divisors (12359548392).

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

4696646400 is a wasteful number, since it uses less digits than its factorization.

4696646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4696646400 is about 68532.0829976734. The cubic root of 4696646400 is about 1674.6701838180.

The spelling of 4696646400 in words is "four billion, six hundred ninety-six million, six hundred forty-six thousand, four hundred".