66047794310400 has 1296 divisors, whose sum is σ = 272879118993600. Its totient is φ = 13975466803200.

The previous prime is 66047794310363. The next prime is 66047794310419. The reversal of 66047794310400 is 401349774066.

It is a super-2 number, since 2×66047794310400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 975575751 + ... + 975643449.

Almost surely, 2^{66047794310400} is an apocalyptic number.

66047794310400 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 66047794310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136439559496800).

66047794310400 is an abundant number, since it is smaller than the sum of its proper divisors (206831324683200).

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

66047794310400 is a wasteful number, since it uses less digits than its factorization.

66047794310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67820 (or 67794 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 66047794310400 in words is "sixty-six trillion, forty-seven billion, seven hundred ninety-four million, three hundred ten thousand, four hundred".