65024615040 has 768 divisors, whose sum is σ = 276951052800. Its totient is φ = 12796600320.

The previous prime is 65024615027. The next prime is 65024615057. The reversal of 65024615040 is 4051642056.

It is a super-2 number, since 2×65024615040² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 65024614992 and 65024615010.

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, 19661067 + ... + 19664373.

It is an arithmetic number, because the mean of its divisors is an integer number (360613350).

Almost surely, 2^65024615040 is an apocalyptic number.

65024615040 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 65024615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138475526400).

65024615040 is an abundant number, since it is smaller than the sum of its proper divisors (211926437760).

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

65024615040 is a wasteful number, since it uses less digits than its factorization.

65024615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 65024615040 in words is "sixty-five billion, twenty-four million, six hundred fifteen thousand, forty".