7906453632000 has 4224 divisors, whose sum is σ = 38217245015040. Its totient is φ = 1576599552000.

The previous prime is 7906453631969. The next prime is 7906453632001. The reversal of 7906453632000 is 2363546097.

7906453632000 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 4 + 5 + 3 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7906453632001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108307583964 + ... + 108307584036.

Almost surely, 2^{7906453632000} is an apocalyptic number.

7906453632000 is a gapful number since it is divisible by the number (70) 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 7906453632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108622507520).

7906453632000 is an abundant number, since it is smaller than the sum of its proper divisors (30310791383040).

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

7906453632000 is a wasteful number, since it uses less digits than its factorization.

7906453632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 7906453632000 in words is "seven trillion, nine hundred six billion, four hundred fifty-three million, six hundred thirty-two thousand".