66838072320 has 352 divisors, whose sum is σ = 250041868800. Its totient is φ = 16884744192.

The previous prime is 66838072309. The next prime is 66838072331. The reversal of 66838072320 is 2327083866.

It is an interprime number because it is at equal distance from previous prime (66838072309) and next prime (66838072331).

It is a super-2 number, since 2×66838072320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2613837 + ... + 2639283.

Almost surely, 2^66838072320 is an apocalyptic number.

66838072320 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 66838072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125020934400).

66838072320 is an abundant number, since it is smaller than the sum of its proper divisors (183203796480).

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

66838072320 is a wasteful number, since it uses less digits than its factorization.

66838072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500 (or 25476 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 66838072320 in words is "sixty-six billion, eight hundred thirty-eight million, seventy-two thousand, three hundred twenty".