4628777340 has 192 divisors, whose sum is σ = 15759152640. Its totient is φ = 1000488960.

The previous prime is 4628777339. The next prime is 4628777353. The reversal of 4628777340 is 437778264.

It is a self number, because there is not a number n which added to its sum of digits gives 4628777340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202324 + ... + 224036.

It is an arithmetic number, because the mean of its divisors is an integer number (82078920).

Almost surely, 2^4628777340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628777340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879576320).

4628777340 is an abundant number, since it is smaller than the sum of its proper divisors (11130375300).

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

4628777340 is a wasteful number, since it uses less digits than its factorization.

4628777340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772 (or 21770 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 4628777340 is about 68035.1184315865. The cubic root of 4628777340 is about 1666.5643856344.

The spelling of 4628777340 in words is "four billion, six hundred twenty-eight million, seven hundred seventy-seven thousand, three hundred forty".