7961358045006 has 320 divisors, whose sum is σ = 20190373632000. Its totient is φ = 2329795353600.

The previous prime is 7961358044993. The next prime is 7961358045013. The reversal of 7961358045006 is 6005408531697.

7961358045006 is a `hidden beast` number, since 7 + 9 + 6 + 1 + 3 + 580 + 4 + 50 + 0 + 6 = 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, 1608027831 + ... + 1608032781.

It is an arithmetic number, because the mean of its divisors is an integer number (63094917600).

Almost surely, 2^{7961358045006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7961358045006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10095186816000).

7961358045006 is an abundant number, since it is smaller than the sum of its proper divisors (12229015586994).

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

7961358045006 is a wasteful number, since it uses less digits than its factorization.

7961358045006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 7961358045006 in words is "seven trillion, nine hundred sixty-one billion, three hundred fifty-eight million, forty-five thousand, six".