7197998048640 has 3840 divisors, whose sum is σ = 34524108748800. Its totient is φ = 1414639779840.

The previous prime is 7197998048629. The next prime is 7197998048663. The reversal of 7197998048640 is 468408997917.

7197998048640 is a `hidden beast` number, since 7 + 19 + 7 + 9 + 98 + 0 + 486 + 40 = 666.

It is a super-2 number, since 2×7197998048640² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25434621939 + ... + 25434622221.

It is an arithmetic number, because the mean of its divisors is an integer number (8990653320).

Almost surely, 2^{7197998048640} is an apocalyptic number.

7197998048640 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 7197998048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262054374400).

7197998048640 is an abundant number, since it is smaller than the sum of its proper divisors (27326110700160).

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

7197998048640 is a wasteful number, since it uses less digits than its factorization.

7197998048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 7197998048640 in words is "seven trillion, one hundred ninety-seven billion, nine hundred ninety-eight million, forty-eight thousand, six hundred forty".