65408737680 has 1680 divisors, whose sum is σ = 290719392768. Its totient is φ = 13548902400.

The previous prime is 65408737663. The next prime is 65408737727. The reversal of 65408737680 is 8673780456.

65408737680 is a `hidden beast` number, since 6 + 540 + 8 + 7 + 37 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2109959265 + ... + 2109959295.

Almost surely, 2^65408737680 is an apocalyptic number.

65408737680 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 65408737680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145359696384).

65408737680 is an abundant number, since it is smaller than the sum of its proper divisors (225310655088).

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

65408737680 is a wasteful number, since it uses less digits than its factorization.

65408737680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 65408737680 in words is "sixty-five billion, four hundred eight million, seven hundred thirty-seven thousand, six hundred eighty".