7854492672 has 396 divisors, whose sum is σ = 25817500920. Its totient is φ = 2357821440.

The previous prime is 7854492671. The next prime is 7854492689. The reversal of 7854492672 is 2762944587.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7854492672 is a `hidden beast` number, since 7 + 8 + 544 + 9 + 26 + 72 = 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 (7854492671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191572972 + ... + 191573012.

Almost surely, 2^7854492672 is an apocalyptic number.

7854492672 is a gapful number since it is divisible by the number (72) 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 7854492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908750460).

7854492672 is an abundant number, since it is smaller than the sum of its proper divisors (17963008248).

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

7854492672 is a wasteful number, since it uses less digits than its factorization.

7854492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 59 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 7854492672 is about 88625.5757216843. The cubic root of 7854492672 is about 1987.8001221396.

The spelling of 7854492672 in words is "seven billion, eight hundred fifty-four million, four hundred ninety-two thousand, six hundred seventy-two".