80642076672000 has 768 divisors, whose sum is σ = 277349792709600. Its totient is φ = 20807811072000.

The previous prime is 80642076671951. The next prime is 80642076672011. The reversal of 80642076672000 is 27667024608.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11808764586 + ... + 11808771414.

Almost surely, 2^{80642076672000} is an apocalyptic number.

80642076672000 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 80642076672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138674896354800).

80642076672000 is an abundant number, since it is smaller than the sum of its proper divisors (196707716037600).

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

80642076672000 is an frugal number, since it uses more digits than its factorization.

80642076672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 80642076672000 in words is "eighty trillion, six hundred forty-two billion, seventy-six million, six hundred seventy-two thousand".