7087042560 has 416 divisors, whose sum is σ = 25760367360. Its totient is φ = 1649147904.

The previous prime is 7087042553. The next prime is 7087042561. The reversal of 7087042560 is 652407807.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7087042561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15175447 + ... + 15175913.

It is an arithmetic number, because the mean of its divisors is an integer number (61923960).

Almost surely, 2^7087042560 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 7087042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880183680).

7087042560 is an abundant number, since it is smaller than the sum of its proper divisors (18673324800).

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

7087042560 is a wasteful number, since it uses less digits than its factorization.

7087042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 7087042560 is about 84184.5743589644. The cubic root of 7087042560 is about 1920.8274211506.

The spelling of 7087042560 in words is "seven billion, eighty-seven million, forty-two thousand, five hundred sixty".