7954455960 has 320 divisors, whose sum is σ = 29301592320. Its totient is φ = 1919427840.

The previous prime is 7954455923. The next prime is 7954455967. The reversal of 7954455960 is 695544597.

7954455960 is a `hidden beast` number, since 7 + 9 + 5 + 4 + 45 + 596 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7954455897 and 7954455906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7954455967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10941117 + ... + 10941843.

It is an arithmetic number, because the mean of its divisors is an integer number (91567476).

Almost surely, 2^7954455960 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 7954455960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650796160).

7954455960 is an abundant number, since it is smaller than the sum of its proper divisors (21347136360).

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

7954455960 is a wasteful number, since it uses less digits than its factorization.

7954455960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 7954455960 is about 89187.7567830922. The cubic root of 7954455960 is about 1996.1974381770.

The spelling of 7954455960 in words is "seven billion, nine hundred fifty-four million, four hundred fifty-five thousand, nine hundred sixty".