64116076416 has 128 divisors (see below), whose sum is σ = 197102515200. Its totient is φ = 18086934528.

The previous prime is 64116076411. The next prime is 64116076439. The reversal of 64116076416 is 61467061146.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×64116076416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64116076411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61386 + ... + 363318.

It is an arithmetic number, because the mean of its divisors is an integer number (1539863400).

Almost surely, 2^64116076416 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 64116076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98551257600).

64116076416 is an abundant number, since it is smaller than the sum of its proper divisors (132986438784).

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

64116076416 is a wasteful number, since it uses less digits than its factorization.

64116076416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302036 (or 302024 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 64116076416 in words is "sixty-four billion, one hundred sixteen million, seventy-six thousand, four hundred sixteen".