61503092640 has 960 divisors, whose sum is σ = 247292559360. Its totient is φ = 14265538560.

The previous prime is 61503092627. The next prime is 61503092647. The reversal of 61503092640 is 4629030516.

It is a happy number.

61503092640 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 3 + 0 + 9 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61503092595 and 61503092604.

It is not an unprimeable number, because it can be changed into a prime (61503092647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 484276257 + ... + 484276383.

It is an arithmetic number, because the mean of its divisors is an integer number (257596416).

Almost surely, 2^61503092640 is an apocalyptic number.

61503092640 is a gapful number since it is divisible by the number (60) 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 61503092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123646279680).

61503092640 is an abundant number, since it is smaller than the sum of its proper divisors (185789466720).

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

61503092640 is a wasteful number, since it uses less digits than its factorization.

61503092640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61503092640 in words is "sixty-one billion, five hundred three million, ninety-two thousand, six hundred forty".