870003066240 has 768 divisors, whose sum is σ = 3866417418240. Its totient is φ = 174945484800.

The previous prime is 870003066193. The next prime is 870003066281. The reversal of 870003066240 is 42660300078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 870003066195 and 870003066204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13717482 + ... + 13780758.

It is an arithmetic number, because the mean of its divisors is an integer number (5034397680).

Almost surely, 2^870003066240 is an apocalyptic number.

870003066240 is a gapful number since it is divisible by the number (80) 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 870003066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933208709120).

870003066240 is an abundant number, since it is smaller than the sum of its proper divisors (2996414352000).

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

870003066240 is a wasteful number, since it uses less digits than its factorization.

870003066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63351 (or 63336 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 870003066240 in words is "eight hundred seventy billion, three million, sixty-six thousand, two hundred forty".