2887631959680 has 640 divisors, whose sum is σ = 11117456380800. Its totient is φ = 710037135360.

The previous prime is 2887631959633. The next prime is 2887631959699. The reversal of 2887631959680 is 869591367882.

2887631959680 is a `hidden beast` number, since 2 + 88 + 76 + 319 + 5 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2887631959599 and 2887631959608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 870029061 + ... + 870032379.

It is an arithmetic number, because the mean of its divisors is an integer number (17371025595).

Almost surely, 2^{2887631959680} is an apocalyptic number.

2887631959680 is a gapful number since it is divisible by the number (20) 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 2887631959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558728190400).

2887631959680 is an abundant number, since it is smaller than the sum of its proper divisors (8229824421120).

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

2887631959680 is a wasteful number, since it uses less digits than its factorization.

2887631959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 2887631959680 in words is "two trillion, eight hundred eighty-seven billion, six hundred thirty-one million, nine hundred fifty-nine thousand, six hundred eighty".