7922815770240 has 1536 divisors, whose sum is σ = 34533150681600. Its totient is φ = 1708158025728.

The previous prime is 7922815770203. The next prime is 7922815770269. The reversal of 7922815770240 is 420775182297.

7922815770240 is a `hidden beast` number, since 7 + 9 + 2 + 28 + 1 + 577 + 0 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1421640094 + ... + 1421645666.

It is an arithmetic number, because the mean of its divisors is an integer number (22482519975).

Almost surely, 2^{7922815770240} is an apocalyptic number.

7922815770240 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 7922815770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266575340800).

7922815770240 is an abundant number, since it is smaller than the sum of its proper divisors (26610334911360).

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

7922815770240 is a wasteful number, since it uses less digits than its factorization.

7922815770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5711 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 7922815770240 in words is "seven trillion, nine hundred twenty-two billion, eight hundred fifteen million, seven hundred seventy thousand, two hundred forty".