9700042752 has 144 divisors (see below), whose sum is σ = 28093387140. Its totient is φ = 3224371200.

The previous prime is 9700042739. The next prime is 9700042753. The reversal of 9700042752 is 2572400079.

It can be written as a sum of positive squares in 2 ways, for example, as 9569534976 + 130507776 = 97824^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (9700042753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11814502 + ... + 11815322.

Almost surely, 2^9700042752 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 9700042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046693570).

9700042752 is an abundant number, since it is smaller than the sum of its proper divisors (18393344388).

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

9700042752 is a wasteful number, since it uses less digits than its factorization.

9700042752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 9700042752 is about 98488.7950581182. The cubic root of 9700042752 is about 2132.6743686958.

The spelling of 9700042752 in words is "nine billion, seven hundred million, forty-two thousand, seven hundred fifty-two".