7813249920 has 1152 divisors, whose sum is σ = 34828185600. Its totient is φ = 1602478080.

The previous prime is 7813249879. The next prime is 7813249943. The reversal of 7813249920 is 299423187.

7813249920 is a `hidden beast` number, since 7 + 8 + 132 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7813249920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166239337 + ... + 166239383.

It is an arithmetic number, because the mean of its divisors is an integer number (30232800).

Almost surely, 2^7813249920 is an apocalyptic number.

7813249920 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 7813249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17414092800).

7813249920 is an abundant number, since it is smaller than the sum of its proper divisors (27014935680).

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

7813249920 is a wasteful number, since it uses less digits than its factorization.

7813249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7813249920 is about 88392.5897346605. The cubic root of 7813249920 is about 1984.3148021981.

The spelling of 7813249920 in words is "seven billion, eight hundred thirteen million, two hundred forty-nine thousand, nine hundred twenty".