9701578656 has 504 divisors, whose sum is σ = 36046860192. Its totient is φ = 2514758400.

The previous prime is 9701578643. The next prime is 9701578669. The reversal of 9701578656 is 6568751079.

9701578656 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 578 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9701578643) and next prime (9701578669).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758571 + ... + 19759061.

It is an arithmetic number, because the mean of its divisors is an integer number (71521548).

Almost surely, 2^9701578656 is an apocalyptic number.

9701578656 is a gapful number since it is divisible by the number (96) 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 9701578656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023430096).

9701578656 is an abundant number, since it is smaller than the sum of its proper divisors (26345281536).

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

9701578656 is a wasteful number, since it uses less digits than its factorization.

9701578656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 9701578656 is about 98496.5921034835. The cubic root of 9701578656 is about 2132.7869252521.

The spelling of 9701578656 in words is "nine billion, seven hundred one million, five hundred seventy-eight thousand, six hundred fifty-six".