667400580000 has 1440 divisors, whose sum is σ = 3088169219520. Its totient is φ = 138620160000.

The previous prime is 667400579971. The next prime is 667400580013. The reversal of 667400580000 is 85004766.

It is a happy number.

667400580000 is a `hidden beast` number, since 6 + 6 + 74 + 0 + 0 + 580 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 291058854 + ... + 291061146.

It is an arithmetic number, because the mean of its divisors is an integer number (2144561958).

Almost surely, 2^667400580000 is an apocalyptic number.

667400580000 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 667400580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544084609760).

667400580000 is an abundant number, since it is smaller than the sum of its proper divisors (2420768639520).

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

667400580000 is a wasteful number, since it uses less digits than its factorization.

667400580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 667400580000 its reverse (85004766), we get a palindrome (667485584766).

The spelling of 667400580000 in words is "six hundred sixty-seven billion, four hundred million, five hundred eighty thousand".