8020131840 has 768 divisors, whose sum is σ = 34067714400. Its totient is φ = 1783627776.

The previous prime is 8020131793. The next prime is 8020131851. The reversal of 8020131840 is 481310208.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 216760302 + ... + 216760338.

Almost surely, 2^8020131840 is an apocalyptic number.

8020131840 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 8020131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033857200).

8020131840 is an abundant number, since it is smaller than the sum of its proper divisors (26047582560).

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

8020131840 is an equidigital number, since it uses as much as digits as its factorization.

8020131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8020131840 is about 89555.1887943965. The cubic root of 8020131840 is about 2001.6762480371.

The spelling of 8020131840 in words is "eight billion, twenty million, one hundred thirty-one thousand, eight hundred forty".