4772419680 has 480 divisors, whose sum is σ = 18143219808. Its totient is φ = 1053696000.

The previous prime is 4772419669. The next prime is 4772419681. The reversal of 4772419680 is 869142774.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4772419681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47251630 + ... + 47251730.

Almost surely, 2^4772419680 is an apocalyptic number.

4772419680 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 4772419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9071609904).

4772419680 is an abundant number, since it is smaller than the sum of its proper divisors (13370800128).

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

4772419680 is a wasteful number, since it uses less digits than its factorization.

4772419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 4772419680 is about 69082.7017421872. The cubic root of 4772419680 is about 1683.6282695534.

The spelling of 4772419680 in words is "four billion, seven hundred seventy-two million, four hundred nineteen thousand, six hundred eighty".