7001145648000 has 1536 divisors, whose sum is σ = 29787264000000. Its totient is φ = 1542094848000.

The previous prime is 7001145647983. The next prime is 7001145648053. The reversal of 7001145648000 is 8465411007.

It is a happy number.

7001145648000 is a `hidden beast` number, since 7 + 0 + 0 + 1 + 1 + 4 + 5 + 648 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14030351751 + ... + 14030352249.

It is an arithmetic number, because the mean of its divisors is an integer number (19392750000).

Almost surely, 2^{7001145648000} is an apocalyptic number.

7001145648000 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 7001145648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893632000000).

7001145648000 is an abundant number, since it is smaller than the sum of its proper divisors (22786118352000).

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

7001145648000 is a wasteful number, since it uses less digits than its factorization.

7001145648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 7001145648000 in words is "seven trillion, one billion, one hundred forty-five million, six hundred forty-eight thousand".