7402787370720 has 432 divisors, whose sum is σ = 29566752742800. Its totient is φ = 1681682300928.

The previous prime is 7402787370709. The next prime is 7402787370731. The reversal of 7402787370720 is 270737872047.

It is an interprime number because it is at equal distance from previous prime (7402787370709) and next prime (7402787370731).

It is a super-3 number, since 3×7402787370720³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11179456 + ... + 11823104.

It is an arithmetic number, because the mean of its divisors is an integer number (68441557275).

Almost surely, 2^{7402787370720} is an apocalyptic number.

7402787370720 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 7402787370720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783376371400).

7402787370720 is an abundant number, since it is smaller than the sum of its proper divisors (22163965372080).

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

7402787370720 is a wasteful number, since it uses less digits than its factorization.

7402787370720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643847 (or 643829 counting only the distinct ones).

The product of its (nonzero) digits is 6453888, while the sum is 54.

The spelling of 7402787370720 in words is "seven trillion, four hundred two billion, seven hundred eighty-seven million, three hundred seventy thousand, seven hundred twenty".