9460948694400 has 1536 divisors, whose sum is σ = 40703287680000. Its totient is φ = 2145114316800.

The previous prime is 9460948694389. The next prime is 9460948694429. The reversal of 9460948694400 is 44968490649.

9460948694400 is a `hidden beast` number, since 9 + 4 + 60 + 9 + 4 + 86 + 94 + 400 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3882209982 + ... + 3882212418.

It is an arithmetic number, because the mean of its divisors is an integer number (26499536250).

Almost surely, 2^{9460948694400} is an apocalyptic number.

9460948694400 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 9460948694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20351643840000).

9460948694400 is an abundant number, since it is smaller than the sum of its proper divisors (31242338985600).

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

9460948694400 is a wasteful number, since it uses less digits than its factorization.

9460948694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 9460948694400 in words is "nine trillion, four hundred sixty billion, nine hundred forty-eight million, six hundred ninety-four thousand, four hundred".