481494653640 has 3072 divisors, whose sum is σ = 2396610478080. Its totient is φ = 83607552000.

The previous prime is 481494653609. The next prime is 481494653671. The reversal of 481494653640 is 46356494184.

481494653640 is a `hidden beast` number, since 4 + 8 + 14 + 94 + 6 + 536 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (481494653609) and next prime (481494653671).

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 (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6781614805 + ... + 6781614875.

It is an arithmetic number, because the mean of its divisors is an integer number (780146640).

Almost surely, 2^481494653640 is an apocalyptic number.

481494653640 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 481494653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198305239040).

481494653640 is an abundant number, since it is smaller than the sum of its proper divisors (1915115824440).

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

481494653640 is a wasteful number, since it uses less digits than its factorization.

481494653640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 481494653640 in words is "four hundred eighty-one billion, four hundred ninety-four million, six hundred fifty-three thousand, six hundred forty".