3087417564672 has 480 divisors, whose sum is σ = 9821012914944. Its totient is φ = 859093401600.

The previous prime is 3087417564607. The next prime is 3087417564713. The reversal of 3087417564672 is 2764657147803.

It is a congruent number.

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, 443527272 + ... + 443534232.

Almost surely, 2^{3087417564672} is an apocalyptic number.

3087417564672 is a gapful number since it is divisible by the number (32) 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 3087417564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910506457472).

3087417564672 is an abundant number, since it is smaller than the sum of its proper divisors (6733595350272).

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

3087417564672 is an equidigital number, since it uses as much as digits as its factorization.

3087417564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 3087417564672 in words is "three trillion, eighty-seven billion, four hundred seventeen million, five hundred sixty-four thousand, six hundred seventy-two".