7607942340480 has 1280 divisors, whose sum is σ = 30574352793600. Its totient is φ = 1793381990400.

The previous prime is 7607942340409. The next prime is 7607942340497. The reversal of 7607942340480 is 840432497067.

7607942340480 is a `hidden beast` number, since 7 + 60 + 79 + 4 + 2 + 34 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 928813185 + ... + 928821375.

It is an arithmetic number, because the mean of its divisors is an integer number (23886213120).

Almost surely, 2^{7607942340480} 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 7607942340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287176396800).

7607942340480 is an abundant number, since it is smaller than the sum of its proper divisors (22966410453120).

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

7607942340480 is a wasteful number, since it uses less digits than its factorization.

7607942340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 7607942340480 in words is "seven trillion, six hundred seven billion, nine hundred forty-two million, three hundred forty thousand, four hundred eighty".