761520049920 has 216 divisors, whose sum is σ = 3011177516256. Its totient is φ = 174061707264.

The previous prime is 761520049919. The next prime is 761520049999. The reversal of 761520049920 is 29940025167.

761520049920 is a `hidden beast` number, since 7 + 6 + 152 + 0 + 0 + 499 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4641087 + ... + 4802366.

Almost surely, 2^761520049920 is an apocalyptic number.

761520049920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

761520049920 is an abundant number, since it is smaller than the sum of its proper divisors (2249657466336).

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

761520049920 is a wasteful number, since it uses less digits than its factorization.

761520049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443487 (or 9443470 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 761520049920 in words is "seven hundred sixty-one billion, five hundred twenty million, forty-nine thousand, nine hundred twenty".