7461737820 has 192 divisors, whose sum is σ = 24263393280. Its totient is φ = 1925259840.

The previous prime is 7461737819. The next prime is 7461737827. The reversal of 7461737820 is 287371647.

7461737820 is a `hidden beast` number, since 7 + 4 + 617 + 3 + 7 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461737827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353189 + ... + 1358691.

It is an arithmetic number, because the mean of its divisors is an integer number (126371840).

Almost surely, 2^7461737820 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 7461737820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131696640).

7461737820 is an abundant number, since it is smaller than the sum of its proper divisors (16801655460).

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

7461737820 is a wasteful number, since it uses less digits than its factorization.

7461737820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7461737820 is about 86381.3511123784. The cubic root of 7461737820 is about 1954.0994467800.

The spelling of 7461737820 in words is "seven billion, four hundred sixty-one million, seven hundred thirty-seven thousand, eight hundred twenty".