7825101984 has 192 divisors, whose sum is σ = 26452500480. Its totient is φ = 2204133120.

The previous prime is 7825101967. The next prime is 7825102001. The reversal of 7825101984 is 4891015287.

It is an interprime number because it is at equal distance from previous prime (7825101967) and next prime (7825102001).

It is a super-2 number, since 2×7825101984² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420297 + ... + 438519.

It is an arithmetic number, because the mean of its divisors is an integer number (137773440).

Almost surely, 2^7825101984 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 7825101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226250240).

7825101984 is an abundant number, since it is smaller than the sum of its proper divisors (18627398496).

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

7825101984 is a wasteful number, since it uses less digits than its factorization.

7825101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18320 (or 18306 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 7825101984 is about 88459.6065105424. The cubic root of 7825101984 is about 1985.3176432923.

The spelling of 7825101984 in words is "seven billion, eight hundred twenty-five million, one hundred one thousand, nine hundred eighty-four".