7290416640 has 480 divisors, whose sum is σ = 26041520736. Its totient is φ = 1738014720.

The previous prime is 7290416621. The next prime is 7290416657. The reversal of 7290416640 is 466140927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53214652 + ... + 53214788.

Almost surely, 2^7290416640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7290416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020760368).

7290416640 is an abundant number, since it is smaller than the sum of its proper divisors (18751104096).

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

7290416640 is a wasteful number, since it uses less digits than its factorization.

7290416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7290416640 is about 85383.9366625831. The cubic root of 7290416640 is about 1939.0281595706.

The spelling of 7290416640 in words is "seven billion, two hundred ninety million, four hundred sixteen thousand, six hundred forty".