10357400664 has 384 divisors, whose sum is σ = 33198197760. Its totient is φ = 3001287168.

The previous prime is 10357400657. The next prime is 10357400717. The reversal of 10357400664 is 46600475301.

It is a happy number.

It is a super-3 number, since 3×10357400664³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59869282 + ... + 59869454.

It is an arithmetic number, because the mean of its divisors is an integer number (86453640).

Almost surely, 2^10357400664 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 10357400664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599098880).

10357400664 is an abundant number, since it is smaller than the sum of its proper divisors (22840797096).

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

10357400664 is a wasteful number, since it uses less digits than its factorization.

10357400664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 10357400664 its reverse (46600475301), we get a palindrome (56957875965).

The spelling of 10357400664 in words is "ten billion, three hundred fifty-seven million, four hundred thousand, six hundred sixty-four".