6261997646520 has 1536 divisors, whose sum is σ = 27549849600000. Its totient is φ = 1242126420480.

The previous prime is 6261997646507. The next prime is 6261997646533. The reversal of 6261997646520 is 256467991626.

6261997646520 is a `hidden beast` number, since 6 + 2 + 6 + 19 + 97 + 6 + 4 + 6 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (6261997646507) and next prime (6261997646533).

It is a super-2 number, since 2×6261997646520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12549093231 + ... + 12549093729.

It is an arithmetic number, because the mean of its divisors is an integer number (17936100000).

Almost surely, 2^{6261997646520} is an apocalyptic number.

6261997646520 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 6261997646520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774924800000).

6261997646520 is an abundant number, since it is smaller than the sum of its proper divisors (21287851953480).

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

6261997646520 is a wasteful number, since it uses less digits than its factorization.

6261997646520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6261997646520 in words is "six trillion, two hundred sixty-one billion, nine hundred ninety-seven million, six hundred forty-six thousand, five hundred twenty".