7387970983272 has 480 divisors, whose sum is σ = 23086631568000. Its totient is φ = 2205422588160.

The previous prime is 7387970983271. The next prime is 7387970983319. The reversal of 7387970983272 is 2723890797837.

7387970983272 is a `hidden beast` number, since 7 + 387 + 97 + 0 + 98 + 3 + 2 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7387970983272.

It is not an unprimeable number, because it can be changed into a prime (7387970983271) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1607126478 + ... + 1607131074.

It is an arithmetic number, because the mean of its divisors is an integer number (48097149100).

Almost surely, 2^{7387970983272} is an apocalyptic number.

7387970983272 is a gapful number since it is divisible by the number (72) 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 7387970983272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543315784000).

7387970983272 is an abundant number, since it is smaller than the sum of its proper divisors (15698660584728).

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

7387970983272 is a wasteful number, since it uses less digits than its factorization.

7387970983272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 448084224, while the sum is 72.

The spelling of 7387970983272 in words is "seven trillion, three hundred eighty-seven billion, nine hundred seventy million, nine hundred eighty-three thousand, two hundred seventy-two".