755549440002 has 192 divisors, whose sum is σ = 2034062005248. Its totient is φ = 197747712000.

The previous prime is 755549439991. The next prime is 755549440013. The reversal of 755549440002 is 200044945557.

755549440002 is a `hidden beast` number, since 7 + 5 + 554 + 94 + 4 + 0 + 0 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (755549439991) and next prime (755549440013).

It is a self number, because there is not a number n which added to its sum of digits gives 755549440002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37841302 + ... + 37861262.

It is an arithmetic number, because the mean of its divisors is an integer number (10594072944).

Almost surely, 2^755549440002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755549440002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017031002624).

755549440002 is an abundant number, since it is smaller than the sum of its proper divisors (1278512565246).

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

755549440002 is a wasteful number, since it uses less digits than its factorization.

755549440002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20465 (or 20462 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 755549440002 in words is "seven hundred fifty-five billion, five hundred forty-nine million, four hundred forty thousand, two".