395672668776 has 1536 divisors, whose sum is σ = 1562803200000. Its totient is φ = 92207808000.

The previous prime is 395672668771. The next prime is 395672668789. The reversal of 395672668776 is 677866276593.

395672668776 is a `hidden beast` number, since 39 + 567 + 26 + 6 + 8 + 7 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395672668771) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3917551126 + ... + 3917551226.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450000).

Almost surely, 2^395672668776 is an apocalyptic number.

395672668776 is a gapful number since it is divisible by the number (36) 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 395672668776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781401600000).

395672668776 is an abundant number, since it is smaller than the sum of its proper divisors (1167130531224).

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

395672668776 is a wasteful number, since it uses less digits than its factorization.

395672668776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 395672668776 in words is "three hundred ninety-five billion, six hundred seventy-two million, six hundred sixty-eight thousand, seven hundred seventy-six".