7490137680 has 240 divisors, whose sum is σ = 26333064576. Its totient is φ = 1904348160.

The previous prime is 7490137673. The next prime is 7490137747. The reversal of 7490137680 is 867310947.

7490137680 = 18035² + 18036² + ... + 18057².

7490137680 is a `hidden beast` number, since 7 + 490 + 13 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×7490137680² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7335570 + ... + 7336590.

Almost surely, 2^7490137680 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 7490137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166532288).

7490137680 is an abundant number, since it is smaller than the sum of its proper divisors (18842926896).

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

7490137680 is a wasteful number, since it uses less digits than its factorization.

7490137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7490137680 is about 86545.5815163316. The cubic root of 7490137680 is about 1956.5754513976.

The spelling of 7490137680 in words is "seven billion, four hundred ninety million, one hundred thirty-seven thousand, six hundred eighty".