7961942016 has 288 divisors, whose sum is σ = 27433486080. Its totient is φ = 2175123456.

The previous prime is 7961941991. The next prime is 7961942029. The reversal of 7961942016 is 6102491697.

7961942016 is a `hidden beast` number, since 7 + 9 + 619 + 4 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7961942016² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966211 + ... + 2968893.

It is an arithmetic number, because the mean of its divisors is an integer number (95255160).

Almost surely, 2^7961942016 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 7961942016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716743040).

7961942016 is an abundant number, since it is smaller than the sum of its proper divisors (19471544064).

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

7961942016 is a wasteful number, since it uses less digits than its factorization.

7961942016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2718 counting only the distinct ones).

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

The square root of 7961942016 is about 89229.7148712244. The cubic root of 7961942016 is about 1996.8234587974.

The spelling of 7961942016 in words is "seven billion, nine hundred sixty-one million, nine hundred forty-two thousand, sixteen".