481087537920 has 720 divisors, whose sum is σ = 1895038038432. Its totient is φ = 115564216320.

The previous prime is 481087537901. The next prime is 481087537979. The reversal of 481087537920 is 29735780184.

It is a happy number.

481087537920 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 87 + 537 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 128872374 + ... + 128876106.

Almost surely, 2^481087537920 is an apocalyptic number.

481087537920 is a gapful number since it is divisible by the number (40) 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 481087537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947519019216).

481087537920 is an abundant number, since it is smaller than the sum of its proper divisors (1413950500512).

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

481087537920 is a wasteful number, since it uses less digits than its factorization.

481087537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 481087537920 in words is "four hundred eighty-one billion, eighty-seven million, five hundred thirty-seven thousand, nine hundred twenty".