9730412677440 has 3584 divisors, whose sum is σ = 46454446080000. Its totient is φ = 1898300178432.

The previous prime is 9730412677373. The next prime is 9730412677463. The reversal of 9730412677440 is 447762140379.

It is a happy number.

9730412677440 is a `hidden beast` number, since 9 + 7 + 3 + 0 + 4 + 126 + 77 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 54359847271 + ... + 54359847449.

It is an arithmetic number, because the mean of its divisors is an integer number (12961620000).

Almost surely, 2^{9730412677440} is an apocalyptic number.

9730412677440 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 9730412677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227223040000).

9730412677440 is an abundant number, since it is smaller than the sum of its proper divisors (36724033402560).

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

9730412677440 is a wasteful number, since it uses less digits than its factorization.

9730412677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 9730412677440 in words is "nine trillion, seven hundred thirty billion, four hundred twelve million, six hundred seventy-seven thousand, four hundred forty".