7201611553456 has 80 divisors (see below), whose sum is σ = 14785280690400. Its totient is φ = 3388649472000.

The previous prime is 7201611553427. The next prime is 7201611553457. The reversal of 7201611553456 is 6543551161027.

It is not an unprimeable number, because it can be changed into a prime (7201611553457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29256300 + ... + 29501428.

It is an arithmetic number, because the mean of its divisors is an integer number (184816008630).

Almost surely, 2^{7201611553456} is an apocalyptic number.

7201611553456 is a gapful number since it is divisible by the number (76) 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 7201611553456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392640345200).

7201611553456 is an abundant number, since it is smaller than the sum of its proper divisors (7583669136944).

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

7201611553456 is a wasteful number, since it uses less digits than its factorization.

7201611553456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245798 (or 245792 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 7201611553456 in words is "seven trillion, two hundred one billion, six hundred eleven million, five hundred fifty-three thousand, four hundred fifty-six".