64013049360 has 300 divisors, whose sum is σ = 240748527492. Its totient is φ = 15756788736.

The previous prime is 64013049343. The next prime is 64013049377. The reversal of 64013049360 is 6394031046.

64013049360 is a `hidden beast` number, since 640 + 1 + 3 + 0 + 4 + 9 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64013049343) and next prime (64013049377).

It can be written as a sum of positive squares in 6 ways, for example, as 31729584384 + 32283464976 = 178128^2 + 179676^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1065894 + ... + 1124346.

Almost surely, 2^64013049360 is an apocalyptic number.

64013049360 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 64013049360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120374263746).

64013049360 is an abundant number, since it is smaller than the sum of its proper divisors (176735478132).

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

64013049360 is a wasteful number, since it uses less digits than its factorization.

64013049360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58504 (or 58476 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 64013049360 in words is "sixty-four billion, thirteen million, forty-nine thousand, three hundred sixty".