66936668457600 has 1536 divisors, whose sum is σ = 269189913600000. Its totient is φ = 16179852902400.

The previous prime is 66936668457541. The next prime is 66936668457623. The reversal of 66936668457600 is 675486663966.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4529167011 + ... + 4529181789.

It is an arithmetic number, because the mean of its divisors is an integer number (175253850000).

Almost surely, 2^{66936668457600} is an apocalyptic number.

66936668457600 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 66936668457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134594956800000).

66936668457600 is an abundant number, since it is smaller than the sum of its proper divisors (202253245142400).

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

66936668457600 is a wasteful number, since it uses less digits than its factorization.

66936668457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 66936668457600 in words is "sixty-six trillion, nine hundred thirty-six billion, six hundred sixty-eight million, four hundred fifty-seven thousand, six hundred".