7887175208640 has 3360 divisors, whose sum is σ = 36786243529728. Its totient is φ = 1588543488000.

The previous prime is 7887175208611. The next prime is 7887175208683. The reversal of 7887175208640 is 468025717887.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 41294110945 + ... + 41294111135.

Almost surely, 2^{7887175208640} is an apocalyptic number.

7887175208640 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 7887175208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393121764864).

7887175208640 is an abundant number, since it is smaller than the sum of its proper divisors (28899068321088).

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

7887175208640 is a wasteful number, since it uses less digits than its factorization.

7887175208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 7887175208640 in words is "seven trillion, eight hundred eighty-seven billion, one hundred seventy-five million, two hundred eight thousand, six hundred forty".