65140625340 has 288 divisors, whose sum is σ = 239311013760. Its totient is φ = 14024908800.

The previous prime is 65140625273. The next prime is 65140625467. The reversal of 65140625340 is 4352604156.

65140625340 is a `hidden beast` number, since 65 + 1 + 4 + 0 + 62 + 534 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 65140625295 and 65140625304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1476400 + ... + 1519880.

It is an arithmetic number, because the mean of its divisors is an integer number (830941020).

Almost surely, 2^65140625340 is an apocalyptic number.

65140625340 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 65140625340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119655506880).

65140625340 is an abundant number, since it is smaller than the sum of its proper divisors (174170388420).

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

65140625340 is a wasteful number, since it uses less digits than its factorization.

65140625340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43573 (or 43568 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 65140625340 in words is "sixty-five billion, one hundred forty million, six hundred twenty-five thousand, three hundred forty".