64136513474000 has 320 divisors, whose sum is σ = 172451252413440. Its totient is φ = 22875520320000.

The previous prime is 64136513473993. The next prime is 64136513474081. The reversal of 64136513474000 is 47431563146.

It is a super-2 number, since 2×64136513474000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253687655 + ... + 253940345.

It is an arithmetic number, because the mean of its divisors is an integer number (538910163792).

Almost surely, 2^{64136513474000} 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 64136513474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86225626206720).

64136513474000 is an abundant number, since it is smaller than the sum of its proper divisors (108314738939440).

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

64136513474000 is a wasteful number, since it uses less digits than its factorization.

64136513474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252947 (or 252931 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 64136513474000 in words is "sixty-four trillion, one hundred thirty-six billion, five hundred thirteen million, four hundred seventy-four thousand".