7515397890 has 960 divisors, whose sum is σ = 29386063872. Its totient is φ = 1334361600.

The previous prime is 7515397871. The next prime is 7515397891. The reversal of 7515397890 is 987935157.

7515397890 is a `hidden beast` number, since 7 + 515 + 39 + 7 + 8 + 90 = 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 (7515397891) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 242432175 + ... + 242432205.

Almost surely, 2^7515397890 is an apocalyptic number.

7515397890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7515397890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14693031936).

7515397890 is an abundant number, since it is smaller than the sum of its proper divisors (21870665982).

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

7515397890 is a wasteful number, since it uses less digits than its factorization.

7515397890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The square root of 7515397890 is about 86691.3945556305. The cubic root of 7515397890 is about 1958.7724760323.

The spelling of 7515397890 in words is "seven billion, five hundred fifteen million, three hundred ninety-seven thousand, eight hundred ninety".