64130640840000 has 2240 divisors, whose sum is σ = 277852082872320. Its totient is φ = 14196556800000.

The previous prime is 64130640839977. The next prime is 64130640840001. The reversal of 64130640840000 is 4804603146.

64130640840000 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 0 + 640 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×64130640840000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64130640840001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35887319107 + ... + 35887320893.

Almost surely, 2^{64130640840000} is an apocalyptic number.

64130640840000 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 64130640840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138926041436160).

64130640840000 is an abundant number, since it is smaller than the sum of its proper divisors (213721442032320).

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

64130640840000 is a wasteful number, since it uses less digits than its factorization.

64130640840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 64130640840000 in words is "sixty-four trillion, one hundred thirty billion, six hundred forty million, eight hundred forty thousand".