64834371840 has 1152 divisors, whose sum is σ = 264855306240. Its totient is φ = 13186105344.

The previous prime is 64834371779. The next prime is 64834371883. The reversal of 64834371840 is 4817343846.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64834371840.

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, 888142044 + ... + 888142116.

It is an arithmetic number, because the mean of its divisors is an integer number (229909120).

Almost surely, 2^64834371840 is an apocalyptic number.

64834371840 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 64834371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132427653120).

64834371840 is an abundant number, since it is smaller than the sum of its proper divisors (200020934400).

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

64834371840 is a wasteful number, since it uses less digits than its factorization.

64834371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 64834371840 in words is "sixty-four billion, eight hundred thirty-four million, three hundred seventy-one thousand, eight hundred forty".