66461896759392 has 144 divisors (see below), whose sum is σ = 192631376272608. Its totient is φ = 21728708352000.

The previous prime is 66461896759381. The next prime is 66461896759409. The reversal of 66461896759392 is 29395769816466.

66461896759392 is a `hidden beast` number, since 6 + 6 + 4 + 6 + 18 + 9 + 6 + 7 + 593 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×66461896759392² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45081813 + ... + 46532715.

It is an arithmetic number, because the mean of its divisors is an integer number (1337717890782).

Almost surely, 2^{66461896759392} 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 66461896759392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96315688136304).

66461896759392 is an abundant number, since it is smaller than the sum of its proper divisors (126169479513216).

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

66461896759392 is a wasteful number, since it uses less digits than its factorization.

66461896759392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453973 (or 1453962 counting only the distinct ones).

The product of its digits is 6348948480, while the sum is 81.

The spelling of 66461896759392 in words is "sixty-six trillion, four hundred sixty-one billion, eight hundred ninety-six million, seven hundred fifty-nine thousand, three hundred ninety-two".