61497645000 has 480 divisors, whose sum is σ = 218183159040. Its totient is φ = 14414400000.

The previous prime is 61497644977. The next prime is 61497645023. The reversal of 61497645000 is 54679416.

61497645000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61497644977) and next prime (61497645023).

It is a super-3 number, since 3×61497645000³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56264454 + ... + 56265546.

It is an arithmetic number, because the mean of its divisors is an integer number (454548248).

Almost surely, 2^61497645000 is an apocalyptic number.

61497645000 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 61497645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109091579520).

61497645000 is an abundant number, since it is smaller than the sum of its proper divisors (156685514040).

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

61497645000 is a wasteful number, since it uses less digits than its factorization.

61497645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 61497645000 in words is "sixty-one billion, four hundred ninety-seven million, six hundred forty-five thousand".