9677101909440 has 896 divisors, whose sum is σ = 38243954552832. Its totient is φ = 2025119416320.

The previous prime is 9677101909411. The next prime is 9677101909483. The reversal of 9677101909440 is 449091017769.

It is a super-2 number, since 2×9677101909440² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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, 335844474 + ... + 335873286.

It is an arithmetic number, because the mean of its divisors is an integer number (42682984992).

Almost surely, 2^{9677101909440} 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 9677101909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121977276416).

9677101909440 is an abundant number, since it is smaller than the sum of its proper divisors (28566852643392).

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

9677101909440 is a wasteful number, since it uses less digits than its factorization.

9677101909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28957 (or 28947 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 9677101909440 in words is "nine trillion, six hundred seventy-seven billion, one hundred one million, nine hundred nine thousand, four hundred forty".