4690288354560 has 432 divisors, whose sum is σ = 15350387673600. Its totient is φ = 1220409344000.

The previous prime is 4690288354529. The next prime is 4690288354579. The reversal of 4690288354560 is 654538820964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4690288354494 and 4690288354503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955100241 + ... + 1955102639.

It is an arithmetic number, because the mean of its divisors is an integer number (35533304800).

Almost surely, 2^{4690288354560} is an apocalyptic number.

4690288354560 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 4690288354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675193836800).

4690288354560 is an abundant number, since it is smaller than the sum of its proper divisors (10660099319040).

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

4690288354560 is a wasteful number, since it uses less digits than its factorization.

4690288354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 4690288354560 in words is "four trillion, six hundred ninety billion, two hundred eighty-eight million, three hundred fifty-four thousand, five hundred sixty".