70801016832 has 864 divisors, whose sum is σ = 269346954240. Its totient is φ = 17482383360.

The previous prime is 70801016821. The next prime is 70801016857. The reversal of 70801016832 is 23861010807.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370685857 + ... + 370686047.

It is an arithmetic number, because the mean of its divisors is an integer number (311744160).

Almost surely, 2^70801016832 is an apocalyptic number.

70801016832 is a gapful number since it is divisible by the number (72) 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 70801016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134673477120).

70801016832 is an abundant number, since it is smaller than the sum of its proper divisors (198545937408).

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

70801016832 is a wasteful number, since it uses less digits than its factorization.

70801016832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 70801016832 in words is "seventy billion, eight hundred one million, sixteen thousand, eight hundred thirty-two".