4776926400 has 840 divisors, whose sum is σ = 19207520640. Its totient is φ = 1161216000.

The previous prime is 4776926389. The next prime is 4776926423. The reversal of 4776926400 is 46296774.

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 119 ways as a sum of consecutive naturals, for example, 116510380 + ... + 116510420.

It is an arithmetic number, because the mean of its divisors is an integer number (22866096).

Almost surely, 2^4776926400 is an apocalyptic number.

4776926400 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 4776926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603760320).

4776926400 is an abundant number, since it is smaller than the sum of its proper divisors (14430594240).

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

4776926400 is a wasteful number, since it uses less digits than its factorization.

4776926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4776926400 is about 69115.3123410435. The cubic root of 4776926400 is about 1684.1580674724.

The spelling of 4776926400 in words is "four billion, seven hundred seventy-six million, nine hundred twenty-six thousand, four hundred".