7954420320 has 576 divisors, whose sum is σ = 35109075456. Its totient is φ = 1652244480.

The previous prime is 7954420283. The next prime is 7954420333. The reversal of 7954420320 is 230244597.

7954420320 is a `hidden beast` number, since 79 + 544 + 20 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2992432 + ... + 2995088.

It is an arithmetic number, because the mean of its divisors is an integer number (60953256).

Almost surely, 2^7954420320 is an apocalyptic number.

7954420320 is a gapful number since it is divisible by the number (70) 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 7954420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554537728).

7954420320 is an abundant number, since it is smaller than the sum of its proper divisors (27154655136).

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

7954420320 is a wasteful number, since it uses less digits than its factorization.

7954420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7954420320 is about 89187.5569796594. The cubic root of 7954420320 is about 1996.1944568467.

The spelling of 7954420320 in words is "seven billion, nine hundred fifty-four million, four hundred twenty thousand, three hundred twenty".