64827413280 has 1152 divisors, whose sum is σ = 280782028800. Its totient is φ = 13287628800.

The previous prime is 64827413279. The next prime is 64827413281. The reversal of 64827413280 is 8231472846.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64827413279) and next prime (64827413281).

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 (64827413281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362164231 + ... + 362164409.

It is an arithmetic number, because the mean of its divisors is an integer number (243734400).

Almost surely, 2^64827413280 is an apocalyptic number.

64827413280 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 64827413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140391014400).

64827413280 is an abundant number, since it is smaller than the sum of its proper divisors (215954615520).

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

64827413280 is a wasteful number, since it uses less digits than its factorization.

64827413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 64827413280 in words is "sixty-four billion, eight hundred twenty-seven million, four hundred thirteen thousand, two hundred eighty".