7642936224000 has 1152 divisors, whose sum is σ = 35167076904960. Its totient is φ = 1588128768000.

The previous prime is 7642936223987. The next prime is 7642936224061. The reversal of 7642936224000 is 4226392467.

7642936224000 is a `hidden beast` number, since 7 + 6 + 42 + 9 + 362 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66470559 + ... + 66585441.

It is an arithmetic number, because the mean of its divisors is an integer number (30526976480).

Almost surely, 2^{7642936224000} is an apocalyptic number.

7642936224000 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 7642936224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583538452480).

7642936224000 is an abundant number, since it is smaller than the sum of its proper divisors (27524140680960).

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

7642936224000 is a wasteful number, since it uses less digits than its factorization.

7642936224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114941 (or 114911 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 7642936224000 in words is "seven trillion, six hundred forty-two billion, nine hundred thirty-six million, two hundred twenty-four thousand".