7628197500 has 1080 divisors, whose sum is σ = 33250993776. Its totient is φ = 1451520000.

The previous prime is 7628197487. The next prime is 7628197513. The reversal of 7628197500 is 57918267.

7628197500 is a `hidden beast` number, since 7 + 62 + 81 + 9 + 7 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (7628197487) and next prime (7628197513).

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 359 ways as a sum of consecutive naturals, for example, 206167482 + ... + 206167518.

Almost surely, 2^7628197500 is an apocalyptic number.

7628197500 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 7628197500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625496888).

7628197500 is an abundant number, since it is smaller than the sum of its proper divisors (25622796276).

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

7628197500 is a wasteful number, since it uses less digits than its factorization.

7628197500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 7628197500 is about 87339.5528955810. The cubic root of 7628197500 is about 1968.5236776873.

The spelling of 7628197500 in words is "seven billion, six hundred twenty-eight million, one hundred ninety-seven thousand, five hundred".