671077906836480 has 7040 divisors, whose sum is σ = 3100523197685760. Its totient is φ = 136447524864000.

The previous prime is 671077906836427. The next prime is 671077906836487. The reversal of 671077906836480 is 84638609770176.

It is a happy number.

671077906836480 is a `hidden beast` number, since 6 + 7 + 10 + 7 + 79 + 0 + 68 + 3 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 671077906836399 and 671077906836408.

It is not an unprimeable number, because it can be changed into a prime (671077906836487) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2185921520487 + ... + 2185921520793.

It is an arithmetic number, because the mean of its divisors is an integer number (440415226944).

Almost surely, 2^{671077906836480} is an apocalyptic number.

671077906836480 is a gapful number since it is divisible by the number (60) 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 671077906836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550261598842880).

671077906836480 is an abundant number, since it is smaller than the sum of its proper divisors (2429445290849280).

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

671077906836480 is a wasteful number, since it uses less digits than its factorization.

671077906836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 671077906836480 in words is "six hundred seventy-one trillion, seventy-seven billion, nine hundred six million, eight hundred thirty-six thousand, four hundred eighty".