4777583040 has 224 divisors, whose sum is σ = 16910304000. Its totient is φ = 1269789696.

The previous prime is 4777583017. The next prime is 4777583087. The reversal of 4777583040 is 403857774.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3273831 + ... + 3275289.

Almost surely, 2^4777583040 is an apocalyptic number.

4777583040 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 4777583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455152000).

4777583040 is an abundant number, since it is smaller than the sum of its proper divisors (12132720960).

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

4777583040 is a wasteful number, since it uses less digits than its factorization.

4777583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4777583040 is about 69120.0624999717. The cubic root of 4777583040 is about 1684.2352324939.

The spelling of 4777583040 in words is "four billion, seven hundred seventy-seven million, five hundred eighty-three thousand, forty".