7412736000 has 448 divisors, whose sum is σ = 26170859520. Its totient is φ = 1857945600.

The previous prime is 7412735983. The next prime is 7412736113. The reversal of 7412736000 is 6372147.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58367937 + ... + 58368063.

Almost surely, 2^7412736000 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 7412736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085429760).

7412736000 is an abundant number, since it is smaller than the sum of its proper divisors (18758123520).

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

7412736000 is a wasteful number, since it uses less digits than its factorization.

7412736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 7412736000 is about 86097.2473427577. The cubic root of 7412736000 is about 1949.8124737484.

The spelling of 7412736000 in words is "seven billion, four hundred twelve million, seven hundred thirty-six thousand".