395764755840 has 640 divisors, whose sum is σ = 1455921561600. Its totient is φ = 102398349312.

The previous prime is 395764755823. The next prime is 395764755847. The reversal of 395764755840 is 48557467593.

395764755840 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 6 + 47 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395764755847) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 309432321 + ... + 309433599.

It is an arithmetic number, because the mean of its divisors is an integer number (2274877440).

Almost surely, 2^395764755840 is an apocalyptic number.

395764755840 is a gapful number since it is divisible by the number (30) 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 395764755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727960780800).

395764755840 is an abundant number, since it is smaller than the sum of its proper divisors (1060156805760).

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

395764755840 is a wasteful number, since it uses less digits than its factorization.

395764755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 395764755840 in words is "three hundred ninety-five billion, seven hundred sixty-four million, seven hundred fifty-five thousand, eight hundred forty".