7930781591040 has 960 divisors, whose sum is σ = 35512492055040. Its totient is φ = 1647944663040.

The previous prime is 7930781591027. The next prime is 7930781591071. The reversal of 7930781591040 is 401951870397.

It is a happy number.

7930781591040 is a `hidden beast` number, since 7 + 9 + 3 + 0 + 7 + 8 + 1 + 591 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 47817376 + ... + 47982944.

It is an arithmetic number, because the mean of its divisors is an integer number (36992179224).

Almost surely, 2^{7930781591040} is an apocalyptic number.

7930781591040 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 7930781591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756246027520).

7930781591040 is an abundant number, since it is smaller than the sum of its proper divisors (27581710464000).

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

7930781591040 is a wasteful number, since it uses less digits than its factorization.

7930781591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165625 (or 165597 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 7930781591040 in words is "seven trillion, nine hundred thirty billion, seven hundred eighty-one million, five hundred ninety-one thousand, forty".