642660480000 has 3300 divisors, whose sum is σ = 3175569267552. Its totient is φ = 127733760000.

The previous prime is 642660479971. The next prime is 642660480001. The reversal of 642660480000 is 84066246.

It is a happy number.

642660480000 is a `hidden beast` number, since 6 + 42 + 6 + 604 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642660480001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 27941759989 + ... + 27941760011.

Almost surely, 2^642660480000 is an apocalyptic number.

642660480000 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 642660480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587784633776).

642660480000 is an abundant number, since it is smaller than the sum of its proper divisors (2532908787552).

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

642660480000 is a wasteful number, since it uses less digits than its factorization.

642660480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 642660480000 in words is "six hundred forty-two billion, six hundred sixty million, four hundred eighty thousand".