80835632640 has 320 divisors, whose sum is σ = 328156139520. Its totient is φ = 18476605440.

The previous prime is 80835632623. The next prime is 80835632693. The reversal of 80835632640 is 4623653808.

It is a happy number.

80835632640 is a `hidden beast` number, since 8 + 0 + 8 + 3 + 5 + 632 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400305 + ... + 567375.

It is an arithmetic number, because the mean of its divisors is an integer number (1025487936).

Almost surely, 2^80835632640 is an apocalyptic number.

80835632640 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 80835632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164078069760).

80835632640 is an abundant number, since it is smaller than the sum of its proper divisors (247320506880).

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

80835632640 is a wasteful number, since it uses less digits than its factorization.

80835632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167110 (or 167088 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 80835632640 in words is "eighty billion, eight hundred thirty-five million, six hundred thirty-two thousand, six hundred forty".