675397771776 has 1600 divisors, whose sum is σ = 2683124269056. Its totient is φ = 164229120000.

The previous prime is 675397771771. The next prime is 675397771837. The reversal of 675397771776 is 677177793576.

675397771776 is a `hidden beast` number, since 6 + 7 + 539 + 7 + 7 + 7 + 17 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (675397771771) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2690827651 + ... + 2690827901.

Almost surely, 2^675397771776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675397771776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341562134528).

675397771776 is an abundant number, since it is smaller than the sum of its proper divisors (2007726497280).

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

675397771776 is a wasteful number, since it uses less digits than its factorization.

675397771776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its digits is 571774140, while the sum is 72.

The spelling of 675397771776 in words is "six hundred seventy-five billion, three hundred ninety-seven million, seven hundred seventy-one thousand, seven hundred seventy-six".