396764065152000 has 7040 divisors, whose sum is σ = 1995710142666240. Its totient is φ = 75982543257600.

The previous prime is 396764065151989. The next prime is 396764065152083. The reversal of 396764065152000 is 251560467693.

396764065152000 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 64 + 0 + 6 + 51 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 465139583574 + ... + 465139584426.

It is an arithmetic number, because the mean of its divisors is an integer number (283481554356).

Almost surely, 2^{396764065152000} is an apocalyptic number.

396764065152000 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 396764065152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997855071333120).

396764065152000 is an abundant number, since it is smaller than the sum of its proper divisors (1598946077514240).

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

396764065152000 is a wasteful number, since it uses less digits than its factorization.

396764065152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 396764065152000 in words is "three hundred ninety-six trillion, seven hundred sixty-four billion, sixty-five million, one hundred fifty-two thousand".