7127587988640 has 1440 divisors, whose sum is σ = 30641576676480. Its totient is φ = 1553700040704.

The previous prime is 7127587988627. The next prime is 7127587988657. The reversal of 7127587988640 is 468897857217.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1528538949 + ... + 1528543611.

It is an arithmetic number, because the mean of its divisors is an integer number (21278872692).

Almost surely, 2^{7127587988640} is an apocalyptic number.

7127587988640 is a gapful number since it is divisible by the number (70) 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 7127587988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320788338240).

7127587988640 is an abundant number, since it is smaller than the sum of its proper divisors (23513988687840).

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

7127587988640 is a wasteful number, since it uses less digits than its factorization.

7127587988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 7127587988640 in words is "seven trillion, one hundred twenty-seven billion, five hundred eighty-seven million, nine hundred eighty-eight thousand, six hundred forty".