64741372416 has 320 divisors, whose sum is σ = 224123750400. Its totient is φ = 18066198528.

The previous prime is 64741372403. The next prime is 64741372429. The reversal of 64741372416 is 61427314746.

64741372416 is a `hidden beast` number, since 6 + 474 + 137 + 2 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64741372403) and next prime (64741372429).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4153245 + ... + 4168803.

It is an arithmetic number, because the mean of its divisors is an integer number (700386720).

Almost surely, 2^64741372416 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 64741372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112061875200).

64741372416 is an abundant number, since it is smaller than the sum of its proper divisors (159382377984).

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

64741372416 is a wasteful number, since it uses less digits than its factorization.

64741372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15636 (or 15614 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 64741372416 in words is "sixty-four billion, seven hundred forty-one million, three hundred seventy-two thousand, four hundred sixteen".