4628040690 has 256 divisors, whose sum is σ = 14442624000. Its totient is φ = 942004224.

The previous prime is 4628040667. The next prime is 4628040709. The reversal of 4628040690 is 960408264.

It is a super-4 number, since 4×4628040690⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3878734 + ... + 3879926.

It is an arithmetic number, because the mean of its divisors is an integer number (56416500).

Almost surely, 2^4628040690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628040690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221312000).

4628040690 is an abundant number, since it is smaller than the sum of its proper divisors (9814583310).

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

4628040690 is a wasteful number, since it uses less digits than its factorization.

4628040690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4628040690 is about 68029.7044679749. The cubic root of 4628040690 is about 1666.4759720933.

The spelling of 4628040690 in words is "four billion, six hundred twenty-eight million, forty thousand, six hundred ninety".