9516473749440 has 1120 divisors, whose sum is σ = 40380776118144. Its totient is φ = 2082013839360.

The previous prime is 9516473749439. The next prime is 9516473749507. The reversal of 9516473749440 is 449473746159.

9516473749440 is a `hidden beast` number, since 9 + 5 + 1 + 6 + 473 + 74 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×9516473749440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 394257052 + ... + 394281188.

Almost surely, 2^{9516473749440} is an apocalyptic number.

9516473749440 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 9516473749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20190388059072).

9516473749440 is an abundant number, since it is smaller than the sum of its proper divisors (30864302368704).

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

9516473749440 is a wasteful number, since it uses less digits than its factorization.

9516473749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24267 (or 24248 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 9516473749440 in words is "nine trillion, five hundred sixteen billion, four hundred seventy-three million, seven hundred forty-nine thousand, four hundred forty".