7098416640 has 640 divisors, whose sum is σ = 30546616320. Its totient is φ = 1525284864.

The previous prime is 7098416609. The next prime is 7098416659. The reversal of 7098416640 is 466148907.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 8224849 + ... + 8225711.

It is an arithmetic number, because the mean of its divisors is an integer number (47729088).

Almost surely, 2^7098416640 is an apocalyptic number.

7098416640 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 7098416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273308160).

7098416640 is an abundant number, since it is smaller than the sum of its proper divisors (23448199680).

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

7098416640 is a wasteful number, since it uses less digits than its factorization.

7098416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7098416640 is about 84252.1016948539. The cubic root of 7098416640 is about 1921.8544582694.

The spelling of 7098416640 in words is "seven billion, ninety-eight million, four hundred sixteen thousand, six hundred forty".