7342978786560 has 288 divisors, whose sum is σ = 26066690496000. Its totient is φ = 1957427748864.

The previous prime is 7342978786531. The next prime is 7342978786669. The reversal of 7342978786560 is 656878792437.

7342978786560 is a `hidden beast` number, since 7 + 3 + 429 + 7 + 87 + 8 + 65 + 60 = 666.

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100498521 + ... + 100571559.

It is an arithmetic number, because the mean of its divisors is an integer number (90509342000).

Almost surely, 2^{7342978786560} 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 7342978786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033345248000).

7342978786560 is an abundant number, since it is smaller than the sum of its proper divisors (18723711709440).

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

7342978786560 is a wasteful number, since it uses less digits than its factorization.

7342978786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75978 (or 75958 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 7342978786560 in words is "seven trillion, three hundred forty-two billion, nine hundred seventy-eight million, seven hundred eighty-six thousand, five hundred sixty".