66210963503904 has 768 divisors, whose sum is σ = 213509875138560. Its totient is φ = 19892744847360.

The previous prime is 66210963503831. The next prime is 66210963503911. The reversal of 66210963503904 is 40930536901266.

66210963503904 is a `hidden beast` number, since 6 + 6 + 210 + 9 + 6 + 35 + 0 + 390 + 4 = 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 127 ways as a sum of consecutive naturals, for example, 8926916004 + ... + 8926923420.

It is an arithmetic number, because the mean of its divisors is an integer number (278007649920).

Almost surely, 2^{66210963503904} 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 66210963503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106754937569280).

66210963503904 is an abundant number, since it is smaller than the sum of its proper divisors (147298911634656).

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

66210963503904 is a wasteful number, since it uses less digits than its factorization.

66210963503904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7870 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 66210963503904 in words is "sixty-six trillion, two hundred ten billion, nine hundred sixty-three million, five hundred three thousand, nine hundred four".