4993900740360 has 1920 divisors, whose sum is σ = 21745254453120. Its totient is φ = 1020095741952.

The previous prime is 4993900740341. The next prime is 4993900740419. The reversal of 4993900740360 is 630470093994.

4993900740360 is a `hidden beast` number, since 4 + 9 + 93 + 90 + 0 + 7 + 403 + 60 = 666.

It is a super-2 number, since 2×4993900740360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4993900740297 and 4993900740306.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4293981139 + ... + 4293982301.

It is an arithmetic number, because the mean of its divisors is an integer number (11325653361).

Almost surely, 2^{4993900740360} is an apocalyptic number.

4993900740360 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 4993900740360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872627226560).

4993900740360 is an abundant number, since it is smaller than the sum of its proper divisors (16751353712760).

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

4993900740360 is a wasteful number, since it uses less digits than its factorization.

4993900740360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 4993900740360 in words is "four trillion, nine hundred ninety-three billion, nine hundred million, seven hundred forty thousand, three hundred sixty".