7489892966400 has 2352 divisors, whose sum is σ = 31894123739184. Its totient is φ = 1727570903040.

The previous prime is 7489892966393. The next prime is 7489892966407. The reversal of 7489892966400 is 46692989847.

7489892966400 is a `hidden beast` number, since 7 + 4 + 89 + 89 + 2 + 9 + 66 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (7489892966393) and next prime (7489892966407).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7489892966407) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 32995123087 + ... + 32995123313.

Almost surely, 2^{7489892966400} 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 7489892966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947061869592).

7489892966400 is an abundant number, since it is smaller than the sum of its proper divisors (24404230772784).

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

7489892966400 is a wasteful number, since it uses less digits than its factorization.

7489892966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 7489892966400 in words is "seven trillion, four hundred eighty-nine billion, eight hundred ninety-two million, nine hundred sixty-six thousand, four hundred".