7890465261120 has 448 divisors, whose sum is σ = 29105369556480. Its totient is φ = 1793523843072.

The previous prime is 7890465261097. The next prime is 7890465261121. The reversal of 7890465261120 is 211625640987.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7890465261121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10893621 + ... + 11595339.

It is an arithmetic number, because the mean of its divisors is an integer number (64967342760).

Almost surely, 2^{7890465261120} 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 7890465261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552684778240).

7890465261120 is an abundant number, since it is smaller than the sum of its proper divisors (21214904295360).

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

7890465261120 is a wasteful number, since it uses less digits than its factorization.

7890465261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701822 (or 701812 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 7890465261120 in words is "seven trillion, eight hundred ninety billion, four hundred sixty-five million, two hundred sixty-one thousand, one hundred twenty".