64378000 has 40 divisors (see below), whose sum is σ = 155670840. Its totient is φ = 25750400.

The previous prime is 64377977. The next prime is 64378001. The reversal of 64378000 is 87346.

It can be written as a sum of positive squares in 4 ways, for example, as 6130576 + 58247424 = 2476^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 64378000.

It is not an unprimeable number, because it can be changed into a prime (64378001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14095 + ... + 18094.

It is an arithmetic number, because the mean of its divisors is an integer number (3891771).

Almost surely, 2^64378000 is an apocalyptic number.

It is an amenable number.

64378000 is an abundant number, since it is smaller than the sum of its proper divisors (91292840).

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

64378000 is a wasteful number, since it uses less digits than its factorization.

64378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32212 (or 32196 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 64378000 is about 8023.5902188484. The cubic root of 64378000 is about 400.7859546766.

The spelling of 64378000 in words is "sixty-four million, three hundred seventy-eight thousand".