8070236532000 has 1152 divisors, whose sum is σ = 30882228931008. Its totient is φ = 1988689920000.

The previous prime is 8070236531977. The next prime is 8070236532067. The reversal of 8070236532000 is 2356320708.

It can be written as a sum of positive squares in 32 ways, for example, as 212104460304 + 7858132071696 = 460548^2 + 2803236^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8468243524 + ... + 8468244476.

Almost surely, 2^{8070236532000} is an apocalyptic number.

8070236532000 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 8070236532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441114465504).

8070236532000 is an abundant number, since it is smaller than the sum of its proper divisors (22811992399008).

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

8070236532000 is a wasteful number, since it uses less digits than its factorization.

8070236532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 8070236532000 in words is "eight trillion, seventy billion, two hundred thirty-six million, five hundred thirty-two thousand".