66936038400 has 1485 divisors, whose sum is σ = 307317745553. Its totient is φ = 13908787200.

The previous prime is 66936038359. The next prime is 66936038447. The reversal of 66936038400 is 483063966.

The square root of 66936038400 is 258720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24096973824 + 42839064576 = 155232^2 + 206976^2 .

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 134 ways as a sum of consecutive naturals, for example, 6085094395 + ... + 6085094405.

Almost surely, 2^66936038400 is an apocalyptic number.

66936038400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66936038400 is the 258720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66936038400

66936038400 is an abundant number, since it is smaller than the sum of its proper divisors (240381707153).

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

66936038400 is a wasteful number, since it uses less digits than its factorization.

66936038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 66936038400 in words is "sixty-six billion, nine hundred thirty-six million, thirty-eight thousand, four hundred".