642480799401 has 63 divisors (see below), whose sum is σ = 1120815113223. Its totient is φ = 367045318080.

The previous prime is 642480799399. The next prime is 642480799403. The reversal of 642480799401 is 104997084246.

The square root of 642480799401 is 801549.

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

642480799401 is a `hidden beast` number, since 6 + 4 + 2 + 480 + 79 + 94 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (642480799399) and next prime (642480799403).

It can be written as a sum of positive squares in only one way, i.e., 632821841001 + 9658958400 = 795501^2 + 98280^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 642480799401 - 2¹ = 642480799399 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (642480799403) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 151490641 + ... + 151494881.

Almost surely, 2^642480799401 is an apocalyptic number.

642480799401 is the 801549-th square number.

642480799401 is the 400775-th centered octagonal number.

It is an amenable number.

642480799401 is a deficient number, since it is larger than the sum of its proper divisors (478334313822).

642480799401 is an frugal number, since it uses more digits than its factorization.

642480799401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 642480799401 in words is "six hundred forty-two billion, four hundred eighty million, seven hundred ninety-nine thousand, four hundred one".