42965987064 has 512 divisors, whose sum is σ = 149171742720. Its totient is φ = 9953280000.

The previous prime is 42965987047. The next prime is 42965987081. The reversal of 42965987064 is 46078956924.

42965987064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42965987047) and next prime (42965987081).

It is a junction number, because it is equal to n+sod(n) for n = 42965986989 and 42965987007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178281984 + ... + 178282224.

It is an arithmetic number, because the mean of its divisors is an integer number (291351060).

Almost surely, 2^42965987064 is an apocalyptic number.

42965987064 is a gapful number since it is divisible by the number (44) 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 42965987064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74585871360).

42965987064 is an abundant number, since it is smaller than the sum of its proper divisors (106205755656).

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

42965987064 is a wasteful number, since it uses less digits than its factorization.

42965987064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 42965987064 in words is "forty-two billion, nine hundred sixty-five million, nine hundred eighty-seven thousand, sixty-four".