7490981150352 has 960 divisors, whose sum is σ = 26757487411200. Its totient is φ = 1907233827840.

The previous prime is 7490981150291. The next prime is 7490981150377. The reversal of 7490981150352 is 2530511890947.

It is a happy number.

7490981150352 is a `hidden beast` number, since 7 + 4 + 9 + 0 + 9 + 81 + 1 + 503 + 52 = 666.

It is a super-2 number, since 2×7490981150352² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12101746299 + ... + 12101746917.

It is an arithmetic number, because the mean of its divisors is an integer number (27872382720).

Almost surely, 2^{7490981150352} is an apocalyptic number.

7490981150352 is a gapful number since it is divisible by the number (72) 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 7490981150352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378743705600).

7490981150352 is an abundant number, since it is smaller than the sum of its proper divisors (19266506260848).

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

7490981150352 is a wasteful number, since it uses less digits than its factorization.

7490981150352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 7490981150352 in words is "seven trillion, four hundred ninety billion, nine hundred eighty-one million, one hundred fifty thousand, three hundred fifty-two".