64132527900672 has 1728 divisors, whose sum is σ = 254444724817920. Its totient is φ = 15675221606400.

The previous prime is 64132527900611. The next prime is 64132527900713. The reversal of 64132527900672 is 27600972523146.

64132527900672 is a `hidden beast` number, since 6 + 41 + 3 + 2 + 527 + 9 + 0 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×64132527900672² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 11074514097 + ... + 11074519887.

It is an arithmetic number, because the mean of its divisors is an integer number (147248104640).

Almost surely, 2^{64132527900672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64132527900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127222362408960).

64132527900672 is an abundant number, since it is smaller than the sum of its proper divisors (190312196917248).

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

64132527900672 is a wasteful number, since it uses less digits than its factorization.

64132527900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 64132527900672 in words is "sixty-four trillion, one hundred thirty-two billion, five hundred twenty-seven million, nine hundred thousand, six hundred seventy-two".