64567134720 has 400 divisors, whose sum is σ = 252291539808. Its totient is φ = 15652085760.

The previous prime is 64567134713. The next prime is 64567134727. The reversal of 64567134720 is 2743176546.

64567134720 is a `hidden beast` number, since 6 + 4 + 567 + 13 + 4 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64567134713) and next prime (64567134727).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64567134727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2266807 + ... + 2295113.

Almost surely, 2^64567134720 is an apocalyptic number.

64567134720 is a gapful number since it is divisible by the number (60) 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 64567134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126145769904).

64567134720 is an abundant number, since it is smaller than the sum of its proper divisors (187724405088).

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

64567134720 is a wasteful number, since it uses less digits than its factorization.

64567134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28353 (or 28328 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 64567134720 in words is "sixty-four billion, five hundred sixty-seven million, one hundred thirty-four thousand, seven hundred twenty".