64412741232 has 480 divisors, whose sum is σ = 219723079680. Its totient is φ = 17226639360.

The previous prime is 64412741231. The next prime is 64412741233. The reversal of 64412741232 is 23214721446.

64412741232 is a `hidden beast` number, since 6 + 4 + 412 + 7 + 4 + 1 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (64412741231) and next prime (64412741233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64412741231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237685257 + ... + 237685527.

It is an arithmetic number, because the mean of its divisors is an integer number (457756416).

Almost surely, 2^64412741232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64412741232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109861539840).

64412741232 is an abundant number, since it is smaller than the sum of its proper divisors (155310338448).

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

64412741232 is a wasteful number, since it uses less digits than its factorization.

64412741232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 64412741232 in words is "sixty-four billion, four hundred twelve million, seven hundred forty-one thousand, two hundred thirty-two".