4980835268640 has 5184 divisors, whose sum is σ = 25234311158784. Its totient is φ = 919683072000.

The previous prime is 4980835268593. The next prime is 4980835268683. The reversal of 4980835268640 is 468625380894.

4980835268640 is a `hidden beast` number, since 49 + 8 + 0 + 8 + 3 + 526 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 121483787020 + ... + 121483787060.

It is an arithmetic number, because the mean of its divisors is an integer number (4867729776).

Almost surely, 2^{4980835268640} is an apocalyptic number.

4980835268640 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 4980835268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12617155579392).

4980835268640 is an abundant number, since it is smaller than the sum of its proper divisors (20253475890144).

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

4980835268640 is a wasteful number, since it uses less digits than its factorization.

4980835268640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 4980835268640 in words is "four trillion, nine hundred eighty billion, eight hundred thirty-five million, two hundred sixty-eight thousand, six hundred forty".