3055764695040 has 288 divisors, whose sum is σ = 10724816793600. Its totient is φ = 804553850880.

The previous prime is 3055764695033. The next prime is 3055764695149. The reversal of 3055764695040 is 405964675503.

3055764695040 is a `hidden beast` number, since 3 + 0 + 5 + 5 + 76 + 4 + 69 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7070785 + ... + 7490495.

It is an arithmetic number, because the mean of its divisors is an integer number (37238947200).

Almost surely, 2^{3055764695040} is an apocalyptic number.

3055764695040 is a gapful number since it is divisible by the number (30) 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 3055764695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362408396800).

3055764695040 is an abundant number, since it is smaller than the sum of its proper divisors (7669052098560).

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

3055764695040 is a wasteful number, since it uses less digits than its factorization.

3055764695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419823 (or 419800 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 3055764695040 in words is "three trillion, fifty-five billion, seven hundred sixty-four million, six hundred ninety-five thousand, forty".