70735282560 has 512 divisors, whose sum is σ = 256011840000. Its totient is φ = 18454487040.

The previous prime is 70735282531. The next prime is 70735282591. The reversal of 70735282560 is 6528253707.

70735282560 is a `hidden beast` number, since 7 + 0 + 7 + 3 + 5 + 2 + 82 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213701595 + ... + 213701925.

It is an arithmetic number, because the mean of its divisors is an integer number (500023125).

Almost surely, 2^70735282560 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 70735282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128005920000).

70735282560 is an abundant number, since it is smaller than the sum of its proper divisors (185276557440).

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

70735282560 is a wasteful number, since it uses less digits than its factorization.

70735282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 70735282560 in words is "seventy billion, seven hundred thirty-five million, two hundred eighty-two thousand, five hundred sixty".