64150758400 has 99 divisors (see below), whose sum is σ = 159116714161. Its totient is φ = 25644093440.

The previous prime is 64150758367. The next prime is 64150758409. The reversal of 64150758400 is 485705146.

The square root of 64150758400 is 253280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23094273024 + 41056485376 = 151968^2 + 202624^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64150758409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40524009 + ... + 40525591.

Almost surely, 2^64150758400 is an apocalyptic number.

64150758400 is the 253280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64150758400

64150758400 is an abundant number, since it is smaller than the sum of its proper divisors (94965955761).

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

64150758400 is an frugal number, since it uses more digits than its factorization.

64150758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 64150758400 in words is "sixty-four billion, one hundred fifty million, seven hundred fifty-eight thousand, four hundred".