9954395640 has 512 divisors, whose sum is σ = 41018112000. Its totient is φ = 2096160768.

The previous prime is 9954395599. The next prime is 9954395663. The reversal of 9954395640 is 465934599.

9954395640 is a `hidden beast` number, since 9 + 9 + 543 + 9 + 56 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 9954395640 = 129³ + 2151³ = 1396³ + 1934³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5313744 + ... + 5315616.

It is an arithmetic number, because the mean of its divisors is an integer number (80113500).

Almost surely, 2^9954395640 is an apocalyptic number.

9954395640 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 9954395640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20509056000).

9954395640 is an abundant number, since it is smaller than the sum of its proper divisors (31063716360).

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

9954395640 is a wasteful number, since it uses less digits than its factorization.

9954395640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 9954395640 is about 99771.7176358110. The cubic root of 9954395640 is about 2151.1546449820.

The spelling of 9954395640 in words is "nine billion, nine hundred fifty-four million, three hundred ninety-five thousand, six hundred forty".