64546332756100 has 72 divisors (see below), whose sum is σ = 159712744870728. Its totient is φ = 22430580787200.

The previous prime is 64546332756077. The next prime is 64546332756109. The reversal of 64546332756100 is 165723364546.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20922500588544 + 43623832167556 = 4574112^2 + 6604834^2 .

It is a super-2 number, since 2×64546332756100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (64546332756109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460302171 + ... + 1460346370.

It is an arithmetic number, because the mean of its divisors is an integer number (2218232567649).

Almost surely, 2^{64546332756100} is an apocalyptic number.

It is an amenable number.

64546332756100 is an abundant number, since it is smaller than the sum of its proper divisors (95166412114628).

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

64546332756100 is a wasteful number, since it uses less digits than its factorization.

64546332756100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920648585 (or 2920648578 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 64546332756100 in words is "sixty-four trillion, five hundred forty-six billion, three hundred thirty-two million, seven hundred fifty-six thousand, one hundred".