99629880480 has 864 divisors, whose sum is σ = 401430556800. Its totient is φ = 22402179072.

The previous prime is 99629880473. The next prime is 99629880481. The reversal of 99629880480 is 8408892699.

99629880480 is a `hidden beast` number, since 9 + 9 + 62 + 98 + 8 + 0 + 480 = 666.

It is a super-2 number, since 2×99629880480² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99629880481) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 134090989 + ... + 134091731.

It is an arithmetic number, because the mean of its divisors is an integer number (464618700).

Almost surely, 2^99629880480 is an apocalyptic number.

99629880480 is a gapful number since it is divisible by the number (90) 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 99629880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200715278400).

99629880480 is an abundant number, since it is smaller than the sum of its proper divisors (301800676320).

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

99629880480 is a wasteful number, since it uses less digits than its factorization.

99629880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

It can be divided in two parts, 996298 and 80480, that added together give a triangular number (1076778 = T₁₄₆₇).

The spelling of 99629880480 in words is "ninety-nine billion, six hundred twenty-nine million, eight hundred eighty thousand, four hundred eighty".