473642312048640 has 336 divisors, whose sum is σ = 1876411207726848. Its totient is φ = 108261099307008.

The previous prime is 473642312048617. The next prime is 473642312048663. The reversal of 473642312048640 is 46840213246374.

473642312048640 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 423 + 1 + 204 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (473642312048617) and next prime (473642312048663).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×473642312048640² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89193592 + ... + 94354551.

Almost surely, 2^{473642312048640} is an apocalyptic number.

473642312048640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

473642312048640 is an abundant number, since it is smaller than the sum of its proper divisors (1402768895678208).

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

473642312048640 is a wasteful number, since it uses less digits than its factorization.

473642312048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183548187 (or 183548160 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 473642312048640 in words is "four hundred seventy-three trillion, six hundred forty-two billion, three hundred twelve million, forty-eight thousand, six hundred forty".