87409410480 has 360 divisors, whose sum is σ = 347926851792. Its totient is φ = 19601906688.

The previous prime is 87409410479. The next prime is 87409410497. The reversal of 87409410480 is 8401490478.

87409410480 is a `hidden beast` number, since 8 + 74 + 0 + 94 + 10 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×87409410480² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1846467 + ... + 1893213.

Almost surely, 2^87409410480 is an apocalyptic number.

87409410480 is a gapful number since it is divisible by the number (80) 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 87409410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173963425896).

87409410480 is an abundant number, since it is smaller than the sum of its proper divisors (260517441312).

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

87409410480 is a wasteful number, since it uses less digits than its factorization.

87409410480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46833 (or 46817 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 87409410480 in words is "eighty-seven billion, four hundred nine million, four hundred ten thousand, four hundred eighty".