970741477728 has 576 divisors, whose sum is σ = 3225160882944. Its totient is φ = 284663808000.

The previous prime is 970741477703. The next prime is 970741477733. The reversal of 970741477728 is 827774147079.

970741477728 is a `hidden beast` number, since 9 + 70 + 74 + 1 + 477 + 7 + 28 = 666.

It is a super-2 number, since 2×970741477728² (a number of 25 digits) contains 22 as substring.

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, 459412800 + ... + 459414912.

It is an arithmetic number, because the mean of its divisors is an integer number (5599237644).

Almost surely, 2^970741477728 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 970741477728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612580441472).

970741477728 is an abundant number, since it is smaller than the sum of its proper divisors (2254419405216).

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

970741477728 is a wasteful number, since it uses less digits than its factorization.

970741477728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 63.

The spelling of 970741477728 in words is "nine hundred seventy billion, seven hundred forty-one million, four hundred seventy-seven thousand, seven hundred twenty-eight".