7487340779520 has 1920 divisors, whose sum is σ = 33536243220480. Its totient is φ = 1558126264320.

The previous prime is 7487340779509. The next prime is 7487340779561. The reversal of 7487340779520 is 259770437847.

7487340779520 is a `hidden beast` number, since 7 + 4 + 8 + 7 + 34 + 0 + 7 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×7487340779520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3059802937 + ... + 3059805383.

It is an arithmetic number, because the mean of its divisors is an integer number (17466793344).

Almost surely, 2^{7487340779520} is an apocalyptic number.

7487340779520 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 7487340779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16768121610240).

7487340779520 is an abundant number, since it is smaller than the sum of its proper divisors (26048902440960).

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

7487340779520 is a wasteful number, since it uses less digits than its factorization.

7487340779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 7487340779520 in words is "seven trillion, four hundred eighty-seven billion, three hundred forty million, seven hundred seventy-nine thousand, five hundred twenty".