263642480640 has 1632 divisors, whose sum is σ = 1209158286336. Its totient is φ = 53508833280.

The previous prime is 263642480603. The next prime is 263642480677. The reversal of 263642480640 is 46084246362.

263642480640 is a `hidden beast` number, since 2 + 6 + 364 + 248 + 0 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (263642480603) and next prime (263642480677).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6131220459 + ... + 6131220501.

Almost surely, 2^263642480640 is an apocalyptic number.

263642480640 is a gapful number since it is divisible by the number (20) 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 263642480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604579143168).

263642480640 is an abundant number, since it is smaller than the sum of its proper divisors (945515805696).

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

263642480640 is an frugal number, since it uses more digits than its factorization.

263642480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 263642480640 in words is "two hundred sixty-three billion, six hundred forty-two million, four hundred eighty thousand, six hundred forty".