49680294980624 has 320 divisors, whose sum is σ = 123646120046592. Its totient is φ = 18772470835200.

The previous prime is 49680294980623. The next prime is 49680294980639. The reversal of 49680294980624 is 42608949208694.

It is a Cunningham number, because it is equal to 7048425²-1.

It is not an unprimeable number, because it can be changed into a prime (49680294980623) 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, 32197209197 + ... + 32197210739.

Almost surely, 2^{49680294980624} is an apocalyptic number.

49680294980624 is a gapful number since it is divisible by the number (44) 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 49680294980624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61823060023296).

49680294980624 is an abundant number, since it is smaller than the sum of its proper divisors (73965825065968).

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

49680294980624 is a wasteful number, since it uses less digits than its factorization.

49680294980624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 71.

The spelling of 49680294980624 in words is "forty-nine trillion, six hundred eighty billion, two hundred ninety-four million, nine hundred eighty thousand, six hundred twenty-four".