63761290992 has 560 divisors, whose sum is σ = 227641715712. Its totient is φ = 16878274560.

The previous prime is 63761290963. The next prime is 63761290997. The reversal of 63761290992 is 29909216736.

63761290992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63761290997) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 98548813 + ... + 98549459.

Almost surely, 2^63761290992 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 63761290992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113820857856).

63761290992 is an abundant number, since it is smaller than the sum of its proper divisors (163880424720).

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

63761290992 is a wasteful number, since it uses less digits than its factorization.

63761290992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

It can be divided in two parts, 637612909 and 92, that added together give a square (637613001 = 25251²).

The spelling of 63761290992 in words is "sixty-three billion, seven hundred sixty-one million, two hundred ninety thousand, nine hundred ninety-two".