7874193600 has 672 divisors, whose sum is σ = 35346071040. Its totient is φ = 1660538880.

The previous prime is 7874193599. The next prime is 7874193611. The reversal of 7874193600 is 63914787.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3930199 + ... + 3932201.

It is an arithmetic number, because the mean of its divisors is an integer number (52598320).

Almost surely, 2^7874193600 is an apocalyptic number.

7874193600 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 7874193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673035520).

7874193600 is an abundant number, since it is smaller than the sum of its proper divisors (27471877440).

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

7874193600 is a wasteful number, since it uses less digits than its factorization.

7874193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7874193600 is about 88736.6530809000. The cubic root of 7874193600 is about 1989.4606923871.

The spelling of 7874193600 in words is "seven billion, eight hundred seventy-four million, one hundred ninety-three thousand, six hundred".