7455564103680 has 2208 divisors, whose sum is σ = 35175777960960. Its totient is φ = 1467670855680.

The previous prime is 7455564103657. The next prime is 7455564103693. The reversal of 7455564103680 is 863014655547.

It is a happy number.

7455564103680 is a `hidden beast` number, since 7 + 4 + 5 + 5 + 564 + 10 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×7455564103680² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392398110711 + ... + 392398110729.

Almost surely, 2^{7455564103680} is an apocalyptic number.

7455564103680 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 7455564103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587888980480).

7455564103680 is an abundant number, since it is smaller than the sum of its proper divisors (27720213857280).

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

7455564103680 is an frugal number, since it uses more digits than its factorization.

7455564103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 7455564103680 in words is "seven trillion, four hundred fifty-five billion, five hundred sixty-four million, one hundred three thousand, six hundred eighty".