7972378525440 has 3456 divisors, whose sum is σ = 36782581248000. Its totient is φ = 1651290955776.

The previous prime is 7972378525393. The next prime is 7972378525469. The reversal of 7972378525440 is 445258732797.

It is a happy number.

7972378525440 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 3 + 7 + 85 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 346625153269 + ... + 346625153291.

It is an arithmetic number, because the mean of its divisors is an integer number (10643108000).

Almost surely, 2^{7972378525440} is an apocalyptic number.

7972378525440 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 7972378525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391290624000).

7972378525440 is an abundant number, since it is smaller than the sum of its proper divisors (28810202722560).

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

7972378525440 is an frugal number, since it uses more digits than its factorization.

7972378525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 7972378525440 in words is "seven trillion, nine hundred seventy-two billion, three hundred seventy-eight million, five hundred twenty-five thousand, four hundred forty".