64014000765 has 128 divisors (see below), whose sum is σ = 127031224320. Its totient is φ = 27062553600.

The previous prime is 64014000763. The next prime is 64014000767. The reversal of 64014000765 is 56700041046.

It is an interprime number because it is at equal distance from previous prime (64014000763) and next prime (64014000767).

It is not a de Polignac number, because 64014000765 - 2¹ = 64014000763 is a prime.

It is a super-3 number, since 3×64014000765³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64014000763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15199510 + ... + 15203720.

It is an arithmetic number, because the mean of its divisors is an integer number (992431440).

Almost surely, 2^64014000765 is an apocalyptic number.

64014000765 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64014000765 is a deficient number, since it is larger than the sum of its proper divisors (63017223555).

64014000765 is a wasteful number, since it uses less digits than its factorization.

64014000765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4635.

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 64014000765 in words is "sixty-four billion, fourteen million, seven hundred sixty-five", and thus it is an aban number.