671874711552 has 1024 divisors, whose sum is σ = 2391723417600. Its totient is φ = 184025088000.

The previous prime is 671874711463. The next prime is 671874711553. The reversal of 671874711552 is 255117478176.

It is a happy number.

671874711552 is a `hidden beast` number, since 6 + 7 + 1 + 8 + 74 + 7 + 11 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (671874711553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5128814527 + ... + 5128814657.

It is an arithmetic number, because the mean of its divisors is an integer number (2335667400).

Almost surely, 2^671874711552 is an apocalyptic number.

671874711552 is a gapful number since it is divisible by the number (62) 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 671874711552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195861708800).

671874711552 is an abundant number, since it is smaller than the sum of its proper divisors (1719848706048).

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

671874711552 is a wasteful number, since it uses less digits than its factorization.

671874711552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 195 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 54.

The spelling of 671874711552 in words is "six hundred seventy-one billion, eight hundred seventy-four million, seven hundred eleven thousand, five hundred fifty-two".