7981528472064 has 800 divisors, whose sum is σ = 27578598892416. Its totient is φ = 2251086888960.

The previous prime is 7981528472063. The next prime is 7981528472069. The reversal of 7981528472064 is 4602748251897.

It is a happy number.

7981528472064 is a `hidden beast` number, since 7 + 9 + 8 + 1 + 528 + 47 + 2 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7981528471992 and 7981528472010.

It is not an unprimeable number, because it can be changed into a prime (7981528472063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15319632124 + ... + 15319632644.

Almost surely, 2^{7981528472064} 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 7981528472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789299446208).

7981528472064 is an abundant number, since it is smaller than the sum of its proper divisors (19597070420352).

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

7981528472064 is a wasteful number, since it uses less digits than its factorization.

7981528472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 7981528472064 in words is "seven trillion, nine hundred eighty-one billion, five hundred twenty-eight million, four hundred seventy-two thousand, sixty-four".