1127508347664 has 240 divisors, whose sum is σ = 3362052814848. Its totient is φ = 365627074176.

The previous prime is 1127508347659. The next prime is 1127508347683. The reversal of 1127508347664 is 4667438057211.

1127508347664 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 508 + 3 + 4 + 76 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1127508347664.

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, 30498439 + ... + 30535385.

Almost surely, 2^{1127508347664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127508347664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681026407424).

1127508347664 is an abundant number, since it is smaller than the sum of its proper divisors (2234544467184).

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

1127508347664 is a wasteful number, since it uses less digits than its factorization.

1127508347664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37184 (or 37166 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1127508347664 in words is "one trillion, one hundred twenty-seven billion, five hundred eight million, three hundred forty-seven thousand, six hundred sixty-four".