4767787440 has 480 divisors, whose sum is σ = 18315167040. Its totient is φ = 1138655232.

The previous prime is 4767787399. The next prime is 4767787441. The reversal of 4767787440 is 447877674.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767787441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13506304 + ... + 13506656.

It is an arithmetic number, because the mean of its divisors is an integer number (38156598).

Almost surely, 2^4767787440 is an apocalyptic number.

4767787440 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 4767787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157583520).

4767787440 is an abundant number, since it is smaller than the sum of its proper divisors (13547379600).

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

4767787440 is a wasteful number, since it uses less digits than its factorization.

4767787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The square root of 4767787440 is about 69049.1668305998. The cubic root of 4767787440 is about 1683.0833681270.

The spelling of 4767787440 in words is "four billion, seven hundred sixty-seven million, seven hundred eighty-seven thousand, four hundred forty".