9257461286640 has 1920 divisors, whose sum is σ = 37426084577280. Its totient is φ = 1879428096000.

The previous prime is 9257461286581. The next prime is 9257461286663. The reversal of 9257461286640 is 466821647529.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55433899837 + ... + 55433900003.

It is an arithmetic number, because the mean of its divisors is an integer number (19492752384).

Almost surely, 2^{9257461286640} 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 9257461286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18713042288640).

9257461286640 is an abundant number, since it is smaller than the sum of its proper divisors (28168623290640).

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

9257461286640 is a wasteful number, since it uses less digits than its factorization.

9257461286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 9257461286640 in words is "nine trillion, two hundred fifty-seven billion, four hundred sixty-one million, two hundred eighty-six thousand, six hundred forty".