7946284500 has 1152 divisors, whose sum is σ = 35324190720. Its totient is φ = 1451520000.

The previous prime is 7946284477. The next prime is 7946284543. The reversal of 7946284500 is 54826497.

It is a happy number.

7946284500 is a `hidden beast` number, since 7 + 9 + 4 + 62 + 84 + 500 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 383 ways as a sum of consecutive naturals, for example, 111919465 + ... + 111919535.

It is an arithmetic number, because the mean of its divisors is an integer number (30663360).

Almost surely, 2^7946284500 is an apocalyptic number.

7946284500 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 7946284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17662095360).

7946284500 is an abundant number, since it is smaller than the sum of its proper divisors (27377906220).

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

7946284500 is a wasteful number, since it uses less digits than its factorization.

7946284500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7946284500 is about 89141.9345762700. The cubic root of 7946284500 is about 1995.5136521999.

The spelling of 7946284500 in words is "seven billion, nine hundred forty-six million, two hundred eighty-four thousand, five hundred".