7949612160000 has 2200 divisors, whose sum is σ = 35717416518080. Its totient is φ = 1719926784000.

The previous prime is 7949612159941. The next prime is 7949612160029. The reversal of 7949612160000 is 612169497.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 6894719424 + ... + 6894720576.

Almost surely, 2^{7949612160000} is an apocalyptic number.

7949612160000 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 7949612160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858708259040).

7949612160000 is an abundant number, since it is smaller than the sum of its proper divisors (27767804358080).

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

7949612160000 is a wasteful number, since it uses less digits than its factorization.

7949612160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

It can be divided in two parts, 794961 and 2160000, that added together give a square (2954961 = 1719²).

The spelling of 7949612160000 in words is "seven trillion, nine hundred forty-nine billion, six hundred twelve million, one hundred sixty thousand".