480733656102 has 64 divisors (see below), whose sum is σ = 1227108579840. Its totient is φ = 136655231328.

The previous prime is 480733656089. The next prime is 480733656121. The reversal of 480733656102 is 201656337084.

480733656102 is a `hidden beast` number, since 4 + 80 + 7 + 3 + 3 + 6 + 561 + 0 + 2 = 666.

It is a super-3 number, since 3×480733656102³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3153408 + ... + 3302339.

It is an arithmetic number, because the mean of its divisors is an integer number (19173571560).

Almost surely, 2^480733656102 is an apocalyptic number.

480733656102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

480733656102 is an abundant number, since it is smaller than the sum of its proper divisors (746374923738).

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

480733656102 is a wasteful number, since it uses less digits than its factorization.

480733656102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455962 (or 6455956 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 480733656102 in words is "four hundred eighty billion, seven hundred thirty-three million, six hundred fifty-six thousand, one hundred two".