7906010609952 has 768 divisors, whose sum is σ = 29483088445440. Its totient is φ = 2005536153600.

The previous prime is 7906010609933. The next prime is 7906010609983. The reversal of 7906010609952 is 2599060106097.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228857193 + ... + 228891735.

It is an arithmetic number, because the mean of its divisors is an integer number (38389438080).

Almost surely, 2^{7906010609952} is an apocalyptic number.

7906010609952 is a gapful number since it is divisible by the number (72) 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 7906010609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741544222720).

7906010609952 is an abundant number, since it is smaller than the sum of its proper divisors (21577077835488).

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

7906010609952 is a wasteful number, since it uses less digits than its factorization.

7906010609952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34694 (or 34680 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 7906010609952 in words is "seven trillion, nine hundred six billion, ten million, six hundred nine thousand, nine hundred fifty-two".