7978449024 has 512 divisors, whose sum is σ = 30269030400. Its totient is φ = 2010894336.

The previous prime is 7978449007. The next prime is 7978449029. The reversal of 7978449024 is 4209448797.

It is a happy number.

7978449024 is a `hidden beast` number, since 79 + 7 + 84 + 490 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7978449029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7232857 + ... + 7233959.

It is an arithmetic number, because the mean of its divisors is an integer number (59119200).

Almost surely, 2^7978449024 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 7978449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134515200).

7978449024 is an abundant number, since it is smaller than the sum of its proper divisors (22290581376).

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

7978449024 is a wasteful number, since it uses less digits than its factorization.

7978449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7978449024 is about 89322.1642371030. The cubic root of 7978449024 is about 1998.2024702608.

The spelling of 7978449024 in words is "seven billion, nine hundred seventy-eight million, four hundred forty-nine thousand, twenty-four".