61790473698624 has 336 divisors, whose sum is σ = 200897154232320. Its totient is φ = 18674961661440.

The previous prime is 61790473698517. The next prime is 61790473698631. The reversal of 61790473698624 is 42689637409716.

It is a happy number.

61790473698624 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 0 + 473 + 6 + 98 + 62 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 64359777 + ... + 65312799.

It is an arithmetic number, because the mean of its divisors is an integer number (597908197120).

Almost surely, 2^{61790473698624} is an apocalyptic number.

61790473698624 is a gapful number since it is divisible by the number (64) 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 61790473698624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100448577116160).

61790473698624 is an abundant number, since it is smaller than the sum of its proper divisors (139106680533696).

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

61790473698624 is a wasteful number, since it uses less digits than its factorization.

61790473698624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953440 (or 953418 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 61790473698624 in words is "sixty-one trillion, seven hundred ninety billion, four hundred seventy-three million, six hundred ninety-eight thousand, six hundred twenty-four".