667553723460400 has 120 divisors (see below), whose sum is σ = 1832933360034560. Its totient is φ = 228872869505280.

The previous prime is 667553723460391. The next prime is 667553723460427. The reversal of 667553723460400 is 4064327355766.

It is a happy number.

667553723460400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244310557 + ... + 247027843.

Almost surely, 2^{667553723460400} is an apocalyptic number.

It is an amenable number.

667553723460400 is an abundant number, since it is smaller than the sum of its proper divisors (1165379636574160).

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

667553723460400 is a wasteful number, since it uses less digits than its factorization.

667553723460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805051 (or 2805040 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 58.

The spelling of 667553723460400 in words is "six hundred sixty-seven trillion, five hundred fifty-three billion, seven hundred twenty-three million, four hundred sixty thousand, four hundred".