7061937340416 has 1440 divisors, whose sum is σ = 24722151014400. Its totient is φ = 1751918837760.

The previous prime is 7061937340361. The next prime is 7061937340429. The reversal of 7061937340416 is 6140437391607.

It is a super-3 number, since 3×7061937340416³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89391611865 + ... + 89391611943.

Almost surely, 2^{7061937340416} 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 7061937340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12361075507200).

7061937340416 is an abundant number, since it is smaller than the sum of its proper divisors (17660213673984).

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

7061937340416 is a wasteful number, since it uses less digits than its factorization.

7061937340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 7061937340416 in words is "seven trillion, sixty-one billion, nine hundred thirty-seven million, three hundred forty thousand, four hundred sixteen".