7954009140 has 768 divisors, whose sum is σ = 31378636800. Its totient is φ = 1455667200.

The previous prime is 7954009081. The next prime is 7954009153. The reversal of 7954009140 is 419004597.

It is a super-2 number, since 2×7954009140² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100683621 + ... + 100683699.

It is an arithmetic number, because the mean of its divisors is an integer number (40857600).

Almost surely, 2^7954009140 is an apocalyptic number.

7954009140 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 7954009140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689318400).

7954009140 is an abundant number, since it is smaller than the sum of its proper divisors (23424627660).

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

7954009140 is a wasteful number, since it uses less digits than its factorization.

7954009140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 7954009140 is about 89185.2518076840. The cubic root of 7954009140 is about 1996.1600604840.

The spelling of 7954009140 in words is "seven billion, nine hundred fifty-four million, nine thousand, one hundred forty".