9949671480 has 768 divisors, whose sum is σ = 39299904000. Its totient is φ = 1999613952.

The previous prime is 9949671467. The next prime is 9949671493. The reversal of 9949671480 is 841769499.

It is an interprime number because it is at equal distance from previous prime (9949671467) and next prime (9949671493).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 9949671480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119875519 + ... + 119875601.

It is an arithmetic number, because the mean of its divisors is an integer number (51171750).

Almost surely, 2^9949671480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9949671480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952000).

9949671480 is an abundant number, since it is smaller than the sum of its proper divisors (29350232520).

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

9949671480 is a wasteful number, since it uses less digits than its factorization.

9949671480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 9949671480 is about 99748.0399807435. The cubic root of 9949671480 is about 2150.8142926009.

The spelling of 9949671480 in words is "nine billion, nine hundred forty-nine million, six hundred seventy-one thousand, four hundred eighty".